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Graph the following function. AY 20- f(x) = 4(x – 3)2 - 4 f(x) = 4(x - 3)2 – 4. Select all that apply. O A. Vertical stretch or shrink O B. Horizontal stretch or shrink. O C. Reflect across y-axis O D. Reflect across x-axis. O E. Vertical translation up. OF. Vertical translation down. O G. Horizontal translation to the left. O H. Horizontal translation to the right. Use the graphing tool to graph the function. Click to enlarge graph

Graph the following function. AY 20- f(x) = 4(x – 3)2 - 4 f(x) = 4(x - 3)2 – 4. Select all that apply. O A. Vertical stretch or shrink O B. Horizontal stretch or shrink. O C. Reflect across y-axis O D. Reflect across x-axis. O E. Vertical translation up. OF. Vertical translation down. O G. Horizontal translation to the left. O H. Horizontal translation to the right. Use the graphing tool to graph the function. Click to enlarge graph

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Graph the following function. \( f(x) = 4(x - 3)^2 - 4 \) **Select all that apply:** - [ ] A. Vertical stretch or shrink - [ ] B. Horizontal stretch or shrink - [ ] C. Reflect across y-axis - [ ] D. Reflect across x-axis - [ ] E. Vertical translation up - [ ] F. Vertical translation down - [ ] G. Horizontal translation to the left - [ ] H. Horizontal translation to the right **Use the graphing tool to graph the function.** #### Graph Explanation: The figure on the right is a coordinate plane graph with both the x-axis and y-axis marked from -20 to 20. The x-axis runs horizontally and the y-axis runs vertically, intersecting at the origin (0,0). Below the options is a button labeled "Click to enlarge graph," which presumably allows for a more detailed view of the graph. #### Detailed Graph Descriptions: - When graphing the function \( f(x) = 4(x - 3)^2 - 4 \): - **A. Vertical stretch or shrink**: True, because the coefficient \( 4 \) indicates a vertical stretch by a factor of 4. - **B. Horizontal stretch or shrink**: False, no horizontal stretching or shrinking. - **C. Reflect across y-axis**: False, not applicable. - **D. Reflect across x-axis**: False, not applicable. - **E. Vertical translation up**: False, not applicable. - **F. Vertical translation down**: True, the term \( -4 \) translates the graph 4 units down. - **G. Horizontal translation to the left**: False, not applicable. - **H. Horizontal translation to the right**: True, the term \( (x - 3) \) translates the graph 3 units to the right.
Transcribed Image Text:### Graph the following function. \( f(x) = 4(x - 3)^2 - 4 \) **Select all that apply:** - [ ] A. Vertical stretch or shrink - [ ] B. Horizontal stretch or shrink - [ ] C. Reflect across y-axis - [ ] D. Reflect across x-axis - [ ] E. Vertical translation up - [ ] F. Vertical translation down - [ ] G. Horizontal translation to the left - [ ] H. Horizontal translation to the right **Use the graphing tool to graph the function.** #### Graph Explanation: The figure on the right is a coordinate plane graph with both the x-axis and y-axis marked from -20 to 20. The x-axis runs horizontally and the y-axis runs vertically, intersecting at the origin (0,0). Below the options is a button labeled "Click to enlarge graph," which presumably allows for a more detailed view of the graph. #### Detailed Graph Descriptions: - When graphing the function \( f(x) = 4(x - 3)^2 - 4 \): - **A. Vertical stretch or shrink**: True, because the coefficient \( 4 \) indicates a vertical stretch by a factor of 4. - **B. Horizontal stretch or shrink**: False, no horizontal stretching or shrinking. - **C. Reflect across y-axis**: False, not applicable. - **D. Reflect across x-axis**: False, not applicable. - **E. Vertical translation up**: False, not applicable. - **F. Vertical translation down**: True, the term \( -4 \) translates the graph 4 units down. - **G. Horizontal translation to the left**: False, not applicable. - **H. Horizontal translation to the right**: True, the term \( (x - 3) \) translates the graph 3 units to the right.
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