YOU are the protagonist of your own life. Question 3. C. y = 2(x – 0.5)2 – 4.5 NEXT. Use a graphing calculator to find an equation for the line of best fit. Use a graphing calculator to create a scatter plot of the data, as shown at the right. Question 23. Write an equation that represents the cross section of the antenna with its vertex at (0, 0) and its focus 10 feet to the right of the vertex. Download. Find another point that lies on the graph of the parabola. Williamsburg FTC. y = –\(\frac{1}{4}\)(x + 2)2 + 1 Algebra – 2008 75 Functions Work the task and look at the rubric. directrix: y = –\(\frac{5}{4}\) Work with a partner. How can you use a quadratic function to model a real-life situation? (-6, -1) focus: (0, \(\frac{5}{4}\)) Choose a Book. Answer: REASONING In Exercises 19 and 20, use the axis of symmetry to plot the reflection of each point and complete the parabola. Journaling is usually a particular history of occurrences, encounters, and reflections saved consistently, a diary of sorts. ANALYZING EQUATIONS The cross section (with units in inches) of a parabolic satellite dish can be modeled by the equation y = \(\frac{1}{38}\)x2. vertex: (2, 6). g(x) = -4(x – 4)(x – 2) Sophia Information. Find the height of the baseball after 1.7 seconds. focus: (0, -2) Question 7. Answer: Question 10. OPEN-ENDED Write two different quadratic functions in intercept form whose graphs have the axis of symmetry x= 3. Explain. x-intercepts of 12 and -6; passes through (14, 4) vertex: (0, 0) D. y = 2(x + 2)(x – 1) Answer: Question 16. Write a function that models the data. How do the constants a, h, and k affect the graph of the quadratic function g(x) = a(x – h)2 + k? Explain your reasoning. Big ideas math algebra 2 … WHAT IF? (See Beam 1 in the figure.) Answer: Question 79. The table shows the heights y of a dropped object after x seconds. passes through (4, 3) and has x-intercepts of -1 and 5, Question 15. Answer: Question 13. F. (9, 46). C. (6, 14) The parent function of the quadratic family is f(x) = x2. Question 11. How does this change your answers in parts (a) and (b)? Question 5. b. \(\sqrt{3x+8}\) = \(\sqrt{x+4}\) USING STRUCTURE Write the quadratic function f(x) = x2 + x – 12 in intercept form. 2 ≤ x ≤ 5 Answer: Question 38. Decide whether the syllogism represents correct or flawed reasoning. The graph of your third shot is a parabola through the origin that reaches a maximum height of 28 yards when x = 45. The equations below represent the “popping volume” y (in cubic centimeters per gram) of popcorn with moisture content x (as a percent of the popcorn’s weight). Answer: Question 47. The same object dropped from the same height on the moon is modeled by g(t) = –\(\frac{8}{3}\)t2 + 10. Question 41. I graduated from the University of Iowa … Answer: Question 24. Explain your reasoning. b. Answer: Question 43. Justify your answer. Question 27. directrix: y = -6 Match each quadratic function with its graph. A. focus: (0, -6) Answer: Question 16. Question 81. Answer: Question 37. y = –\(\frac{1}{12}\)x2 The function ( ) f x x = has a domain of all real non-negative numbers because you cannot get a real number value of ( ) f x if 0. x < Its range is also all real non-negative numbers. Question 35. Answer: In Exercises 31–34, write a rule for g described by the transformations of the graph of f. Then identify the vertex. Can the mouse jump over a fence that is 3 feet high? b. g(x) = (x – 2)2 + 2 EXPLORATION 1 directrix: y = 1 Answer: Question 15. WRITING Explain when it is appropriate to use a quadratic model for a set of data. Then graph the equation. Answer: Question 24. c. Does the value of a change when the flight path has vertex (30, 4)? (See Ray 1 in the figure.) MODELING WITH MATHEMATICS The Gateshead Millennium Bridge spans the River Tyne. which approximates the yearly profits for a company, where P(t) is the profit in year t. (Skills Review Handbook). in Mathematics in 2010, and graduated from the University of Missouri with my Masters in Technology in Schools in 2014. Answer: Question 65. C. (4, –\(\frac{4}{9}\)) Question 4. g(x) = 3x2 + 18x – 5 Is your friend correct? What are the domain and range of each function in this situation? g(x) = -1.5x2 + 3x + 2 The vertex of the parabola is (50, 37.5). ANALYZING EQUATIONS The cross section (with units in inches) of a parabolic spotlight can be modeled by the equation x = \(\frac{1}{20}\)y2. As soon as I wrote the final sentence, I heard hundreds of voices saying, “but my tale is uninteresting. g(x) = \(\frac{1}{3}\)x2 Question 1. Repeat parts (a) and (b). Write an equation for the path of the baseball. Write an equation of the form y = a(x – h)2 + k with vertex (33, 5) that models the flight path, assuming the fish leaves the water at (0, 0). c. Use the model in part (b) to predict when the sponge will hit the ground. Draw the reflected beams. Find “both” answers. C.focus: (0, 6) Basic Math Skills. CBS News. Question 1. big ideas math algebra 2 page 26 answers big ideas math algebra 2 student journal answer key big ideas math algebra 2 answer key big ideas math algebra 2 answers big ideas math algebra 2 answer key pdf the sonnet ballad by gwendolyn brooks essay epa 608 answers pdf mother of parasurama essay nationality in hindi essay on dussehra simulador examen de conducir cordoba mitosis worksheet … Answer: Question 35. How long is the skier in the air? Write an equation that represents the cross section of the dish shown with its vertex at (0, 0). Question 4. Which better represents the data, a line or a parabola? Question 2. What is the maximum height of the diver? MODELING WITH MATHEMATICS A soccer player kicks a ball downfield. Write and evaluate a function to determine the distance the motorcyclist is from home after 6 hours. y = \(\frac{1}{2}\)(x + 1)2 + 3 Answer: Solve the proportion. MODELING WITH MATHEMATICS The function f(t) = -16t2 + 10 models the height (in feet) of an object t seconds after it is dropped from a height of 10 feet on Earth. Answer: Question 28. (Section 2.1), Question 14. If not, explain. Answer: Question 12. Answer: Question 77. Write an equation of the parabola with the given characteristics. (Section 2.2), Question 11. f(x) = \(\frac{1}{2}\)x2 – 2x – 2 on graph paper. DRAWING CONCLUSIONS Compare the graphs of the three quadratic functions. Two balls are thrown in the air. x = \(\frac{1}{16}\)(y – 3)2 + 1 My pet is warm-blooded. passes through (1, 12) and has vertex (10, -4), Question 14. How to Find the Percent of a Given Number? Big Ideas Math Algebra 1 Answers; Big Ideas Math Algebra 1. Find the minimum value or maximum value of Find the x-intercept of the graph of the linear equation. What do they have in common? f(x) = \(\frac{1}{2}\)(x – 1)2 WRITING A quadratic function is increasing to the left of x = 2 and decreasing to the right of x = 2. Verify that the data show a quadratic relationship. f(x) = -4(x + 1)2 – 5 About Ms. Stehno. (Section 1.3). Answer: Question 42. WHAT IF? Graph the equation. Ask our subject experts for help answering any of your homework questions! Work with a partner. d. 0 ≤ x ≤ 4 REPEATED REASONING The table shows the number of tiles in each figure. Slader Big Ideas Math Algebra 2 Answers . Explain your reasoning. IXL Information. What are the domain and range in this situation? x-intercepts of 9 and 1; passes through (0, -18) MODELING WITH MATHEMATICS A baseball is thrown up in the air. Answer: Question 2. Answer: USING TOOLS In Exercises 35–40, match the function with its graph. Question 8. The parabola in the graph shows the cross section of the reflector with focal length of 1.3 inches and aperture width of 8 inches. Read and understand the core vocabulary and the contents of the Core Concept boxes. What is the height of the diving board? x-intercepts of -16 and -2; passes through (-18, 72) Big Ideas Math Algebra 2 Answer Key - math = love algebra 2 interactive notebook pages for unit 1 this year i have resolved to do a much better job at the interactive notebook in algebra 2 than last year last year we had 12 students in my entire school who were enrolled in algebra 2 . vertex: (0, 0) Write an equation of the parabola. The y-intercept is 4.8. Describe where the function is increasing and decreasing. COMPLETE THE SENTENCE The graph of a quadratic function is called a(n) ________. Answer: Question 40. YES! A. y = 2x2 + 2x + 2 Now is the time to redefine your true self using Slader’s Big Ideas Math Algebra 2: A Bridge to Success answers. Question 3. (b) h(x) = -x2 + 5x + 9. MATHEMATICAL CONNECTIONS The area of a circle depends on the radius, as shown in the graph. Big Ideas Math: Algebra 2. The table shows the estimated profits y (in dollars) for a concert when the charge is x dollars per ticket. Write an expression in terms of a and b that represents the year t when the company made the least profit. Explain. Make a conjecture about the dimensions of the rectangular garden with the greatest possible area. How can you use technology to deepen your understanding of the concepts in Exercise 79 on page 64? Identifying Graphs of Quadratic Functions Gym A charges $10 per month plus an initiation fee of $100. February 12, 2021 February 12, 2021 / By Prasanna. I did not miss school. \(\frac{5}{2}\) =-\(\frac{20}{x}\) Answer key for big ideas math algebra 2 Answer: Question 22. Question 3. Answer: Question 2. What is the maximum height of the surface of the field? Identify the directrix of each parabola. Answer: Question 12. What is the height of the net? Latest News from. Big Ideas Math Book Algebra 2 Answer Key Chapter 2 Quadratic Functions. Quadratic Functions Maintaining Mathematical Proficiency. An underhand serve follows the same parabolic path but is hit from a height of 3 feet. Question 5. How does this affect the focus? THOUGHT PROVOKING Two parabolas have the same focus (a, b) and focal length of 2 units. Use the verbal model and quadratic function to determine how much the store should charge per song to maximize daily revenue. Use the verbal model and quadratic function to determine how much the store should charge per camera to maximize monthly revenue. Write an equation for the path of the second ball. The models originate the sounds at the focus of a parabolic reflector. Your friend claims that for g(x) = b, where b is a real number, there is a transformation in the graph that is impossible to notice. Question 11. Question 3. Question 10. g(x) = -2(x + 1)2 – 2 Answer: Question 10. If flawed, explain why the conclusion is not valid. The table shows the prices (in dollars per troy ounce) of gold each year since 2006 (t = 0 represents 2006). Let the graph of g be a translation 2 units left and 1 unit down, followed by a reflection in the y-axis of the graph of f(x) = (2x + 1)2 – 4. Explain your reasoning. DIFFERENT WORDS, SAME QUESTION (3, –\(\frac{1}{4}\)) Gamespot. Find the safe working load for a rope that has a circumference of 10 inches. Describe the transformations of the graph of the standard equation with p = 1 and vertex (0, 0). The cross section of a field can be modeled by y = -0.000234x(x – 160), where x and y are measured in feet. g(x) = \(\frac{1}{2}\)(x – 1)2 Download Big Ideas Math document File Info: Filename: hstx-geometry-pe-fm.pdf: Language: English: Filesize: 1,801 KB: Published: November 27, 2015: Viewed: 3,011 View: Read Big Ideas Math . Answer: Question 74. Answer: Question 43. Graph the function. WRITING Explain how to determine whether a quadratic function will have a minimum value or a maximum value. d. f(x) = \(\frac{1}{2}\)(x + 2)2 The arch reaches a maximum height of 50 meters at a point roughly 63 meters across the river. g(x) = -2(x – 1)2 + 2 a. The skill alignments are provided by IXL and are not affiliated with, sponsored by, reviewed, approved or endorsed by Big Ideas Learning or any other third party. B. focus: (0, -2) Describe the symmetry of each graph. g(x) = \(\frac{1}{2}\)(x – 5)(x + 1), Question 13. a. Each time the shop decreases the price by $10, it sells 1 additional surfboard per month. b. The parabola shows the path of your friend’s throw, where x is the horizontal distance (in feet) and y is the corresponding height (in feet). a. The path of a shot put released at an angle of 35° can be modeled by y = -0.01x2 + 0.7x + 6. Explain. Answer: ANALYZING RELATIONSHIPS In Exercises 13–16, match the function with the correct transformation of the graph of f. Explain your reasoning. Question 42. Slader Big Ideas Math Algebra 2 Texas Slader Big Ideas Math Algebra 2 Texas Edition Slader Big Ideas Math Algebra 2 Answers Articles & Shopping. Describe the graph of g as a transformation of the graph of f(x) = x2. USING STRUCTURE In Exercises 27–30, describe the transformation of the graph of the parent quadratic function. When is the water-skier 5 feet above the water? Question 9. MODELING WITH MATHEMATICS Solar energy can be concentrated using long troughs that have a parabolic cross section as shown in the figure. Essential Question \(\frac{1}{2}\) = \(\frac{x}{4}\) Question 13. Answer: In Exercises 9–14, write an equation of the parabola in intercept form. A. y = 2(x – 2)(x + 1) Which remains in the air longer? c. Suppose the vertical stretch was performed first, followed by the translations. Answer: Question 47. What are the domain and range of the function? v Big Ideas Math High School Research Big Ideas Math Algebra 1, Geometry, and Algebra 2 is a research-based program. g(x) = 2(x – 1)2 + 2 Identify the focus, directrix, and axis of symmetry. focus: (-\(\frac{4}{5}\), 0) Answer: Question 30. B. We cover textbooks from publishers such as Pearson, McGraw Hill, Big Ideas Learning, CPM, and Hougton Mifflin Harcourt. NOW is the time to make today the first day of the rest of your life. b. Write an equation to represent the cross section of the trough. a. b. When the grasshopper jumps off a rock, it lands on the ground 2 inches farther. Rewrite the functions f and g in standard form to justify your answer. When the rays hit the parabola, they reflect at the same angle at which they entered. What strategies or big mathematical ideas might students use to help them ˜nd the formulas for part 2 and 5? Describe some of the properties of the focus of a parabola. PROBLEM SOLVING The latus rectum of a parabola is the line segment that is parallel to the directrix, passes through the focus, and has endpoints that lie on the parabola. 0 ≤ x ≤ 2 Answer: Question 88. Question 29. directrix: y = 2 Answer: Question 7. Justify your answer. Explain. What do you notice? Answer: Question 52. D. translation 4 units right and 8 units up, followed by a vertical shrink by a factor of \(\frac{1}{2}\). How far is the bulb from the vertex of the cross section? directrix: x = 2, Question 12. Mathleaks offers learning-focused solutions to the most commonly adopted textbooks in Algebra 2. Metacritic. If not, which ball hits the ground first? Question 3. Then use a graphing calculator to verify that your answer is correct. f. f(x) = 3(x – 5)2 + 2. Big Ideas Math Algebra 2 Textbook - Stehno's Math Class My name is Krystle Stehno and I teach math and computer science at Williamsburg Jr/Sr High School in Iowa. passes through (-2, 7), (1, 10), and (2, 27). NOW is the time to make today the first day of the rest of your life. To unquestionable your curiosity, we manage to pay for the favorite big ideas math answers algebra 2 sticker album as the unconventional today. MODELING WITH MATHEMATICS Although a football field appears to be flat, some are actually shaped like a parabola so that rain runs off to both sides. translation 6 units down followed by a reflection in the x-axis Question 6. Let g be a horizontal shrink by a factor of \(\frac{1}{4}\), followed by a translation 1 unit up and 3 units right of the graph of f(x) = (2x + 1)2 – 11. directrix: x = -3 Explain. Question 12. Answer: Question 35. big ideas math answers algebra 1 is available in our digital library an online access to it is set as public so you can download it instantly. Which kick travels farther before hitting the ground? d. Which method do you prefer when writing a transformed function? When the kangaroo jumps from a higher location, it lands 5 feet farther away. Question 7. The table shows the safe working loads S (in pounds) for ropes with circumference C (in inches). Let the graph of g be a vertical shrink by a factor of \(\frac{1}{2}\) followed by a translation 2 units up of the graph of f(x) = x2. Explain your reasoning. Explain your reasoning. Question 35. Write an equation for each gym modeling the total cost y for a membership lasting x months. Question 6. If I am sick, then I will miss school. Answer: In Exercises 3–8, write an equation of the parabola in vertex form. The path of a basketball thrown at an angle of 45° can be modeled by y = -0.02x2 + x + 6. y = \(\frac{1}{4}\)x2 – 3x + 2 The graph shows a quadratic function of the form as a approaches 0? b. MODELING WITH MATHEMATICS Every rope has a safe working load. f(x) = x2; vertical shrink by a factor of \(\frac{1}{3}\) and a reflection in the y-axis, followed by a translation 3 units right Work with a partner. What type of symmetry does the graph of f(x) = a(x – h)2 + k have and how can you describe this symmetry? HOW DO YOU SEE IT? B. Answer: Monitoring Progress and Modeling with Mathematics. Answer: Question 49. Write an equation for the safe working load for a rope. c. f(x) = 2(x – 3)2 + 1 Describe a transformation of the graph below that models the area of the blue portion of the earring. a. a. x = –\(\frac{1}{20}\)y2 MAKING AN ARGUMENT The point (1, 5) lies on the graph of a quadratic function with axis of symmetry x = -1. Compare this function with your function in part (a). What is the equation of this line? f(x) = -2(x – 1)2 – 5 Write a function that models the data. Answer: Question 87. D. y = -x2 + 6 Write an equation for the parabola with the given characteristics. Find a quadratic function that best models the data. THOUGHT PROVOKING Describe a real-life situation that can be modeled by a quadratic equation. ERROR ANALYSIS Describe and correct the error in writing an equation of the parabola. Answer: Question 82. Once we never journal our story, our background, will not be recorded. Write a rule for g. Question 3. The function g(x) = \(\frac{1}{2}\)∣x − 4 ∣ + 4 is a combination of transformations of f(x) = | x|. Find the x-intercept of the graph of the linear equation. vertex: (0, 0) V Big Ideas Math High School Research Big Ideas Math Algebra 1, Geometry, and Algebra 2 is a research-based program. Answer: Question 38. Explain your reasoning. Explain your reasoning. MODELING WITH MATHEMATICS A kernel of popcorn contains water that expands when the kernel is heated, causing it to pop. Question 2. y = -6x + 8. For hot-oil popping, what moisture content maximizes popping volume? Answer: Question 6. What is the depth of the antenna? Explain your reasoning. a. Algebra 2. Identify the focus, directrix, and axis of symmetry of the parabola. A second kick is modeled by y = x(0.4 – 0.008x). Algebra 2 :: Homework Help and Answers :: Slader … In Example 5, the water hits the ground 10 feet closer to the fire truck after lowering the ladder. Question 2. Free Easy Access Student Edition - Common Core High School. Write an equation of each parabola. PROBLEM SOLVING An electronics store sells 70 digital cameras per month at a price of $320 each. WRITING Explain how to find the coordinates of the focus of a parabola with vertex (0, 0)and directrix y = 5. Let Slader cultivate you that you are meant to be! Therefore, I am sick. g(x) = 2(x – 1)2 – 2 Ask our subject experts for help answering any of your homework questions! Answer: Question 73. ABSTRACT REASONING As | p | increases, how does the width of the graph of the equation y = \(\frac{1}{4 p}\)x2 change? F. (2, –\(\frac{1}{18}\)) Answer: Question 6. Question 9. Draw the reflected rays so that they intersect the y-axis. D. y = -5x2 + 10x + 23 Use function notation to write the transformed function. Answer: Question 34. Gym B charges $30 per month, but due to a special promotion, is not currently charging an initiation fee. Label the vertex and axis of symmetry. Answer: Question 47. Sunfire is a machine with a parabolic cross section used to collect solar energy. Question 17. Then determine the maximum possible area of the figure. e. g(x) = 2(x – 2)2 Question 56. LOGIN New to Big Ideas Math? Answer: Question 44. In Exercises 29–36, write an equation of the parabola with the given characteristics. The height (in feet) of the flare above the water is given by f(t) = -16t(t – 8), where t is time (in seconds) since the flare was shot. Question 1. g(x) = \(\frac{1}{2}\)(x + 1)2 – 2 Then describe where the function is increasing and decreasing. | Definition & Word Problems on Percentage. Question 2. Chapter 1: Linear Functions. directrix, p. 68, Section 2.3 Answer: Question 53. Graph the function. a. Then identify the vertex. Answer: Question 71. . Big ideas math algebra 2 answer key Explain. Therefore, I am not sick. Justify your answer. Work with a partner. Question 2. g(x) = 2(x + 1)2 + 2 Quadratic Functions Maintaining Mathematical Proficiency. Use the model to predict the price of gold in the year 2016. MODELING WITH MATHEMATICS The table shows the distances y a motorcyclist is from home after x hours. A surfboard shop sells 40 surfboards per month when it charges $500 per surfboard. Answer: In Exercises 29–32, analyze the differences in the outputs to determine whether the data are linear, quadratic, or neither. P(t) = at2 + bt + c a. directrix: x = –\(\frac{2}{3}\) Describe the domain and range of each function, and where each function is increasing and decreasing. (2, 11) Answer: Question 11. Then use a graphing calculator to verify your answer. Answer: Question 78. Step 1. y = \(\frac{1}{8}\)(x – 3)2 + 2 Answer: Question 7. e. f(x) = -2x2 + 3 Question 9. Explain your reasoning. PROBLEM SOLVING A woodland jumping mouse hops along a parabolic path given by y = -0.2x2 + 1.3x, where x is the mouse’s horizontal distance traveled (in feet) and y is the corresponding height (in feet). Find the length of the latus rectum of the parabola shown. Answer: Question 80. The Exponential and Logarithmic Functions chapter of this Big Ideas Math Algebra 2 Companion Course aligns with the same chapter in the Big Ideas Math Algebra 2 textbook. f(x) = (x + 3)(x + 1) Justify your answer. Complete the table. Question 8. WRITING Explain when to use intercept form and when to use vertex form when writing an equation of a parabola. Write and evaluate a function to determine what the charge per ticket should be to maximize the profit. Find and interpret the coordinates of the vertex. g(x) = \(\frac{1}{5}\)x2 – 4 Answer: In Exercises 3–10, use the Distance Formula to write an equation of the parabola. If so, how long are the balls in the air? Which combinations describe the transformation from the graph of f to the graph of g? ANALYZING EQUATIONS Which of the following equations represent the parabola? Answer: Question 45. E. (6, -1) Use the results in part (a) to identify the vertex of the parabola. Write a function that models the new path of the water. The second ball is released 1.5 feet higher than the first ball and after 3 seconds reaches its maximum height 5 feet lower than the first ball. focus: (0, \(\frac{6}{7}\)) Question 8. Answer: Question 43. focus: (3, 0) Write an equation of the parabola with vertex at (0, 0) and the given directrix or focus. vertex: (0, 0) To explore the answers to these questions and more, go to BigIdeasMath.com. Answer: Question 33. How much more money will the school raise? Answer: MATHEMATICAL CONNECTIONS In Exercises 51 and 52, write an equation for the area of the figure. directrix: y = \(\frac{5}{3}\) What is the maximum volume? Question 5. f(x) = 2(x – 5)(x – 1) Use the regression feature of your calculator to find the model that best fits the data. PROBLEM SOLVING The table shows the heights y of a competitive water-skier x seconds after jumping off a ramp. Question 3. Review previously completed homework assignments. Answer: Question 30. Answer: Question 46. Answer: Question 25. Answer: Question 49. vertex: (0, 0) Answer: Question 86. g(x) = -3x2 – 6x + 5 For hot-air popping, what moisture content maximizes popping volume? EXPLORATION 2 Modeling with a Quadratic Function. Answer: Question 68. IXL provides skill alignments as a service to teachers, students, and parents. Answer: Question 23. Find the coordinates of point A. Describe the transformation of the graph of f to obtain g. From what height must the object be dropped on the moon so it hits the ground at the same time as on Earth? What is the maximum amount the shop can earn per month? b. Let g be a translation 1 unit left and 6 units down, followed by a vertical shrink by a factor of \(\frac{1}{2}\) of the graph of f(x) = 3(x + 2)2. Question 3. PROBLEM SOLVING An online music store sells about 4000 songs each day when it charges $1 per song. Work with a partner. Online homework and grading tools for instructors and students that reinforce student learning through practice and instant feedback Big ideas math algebra 2 answer key pdf. Write the equation of the quadratic function whose graph is shown at the right.

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