### 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.

Answered: Image /qna-images/answer/4c2dc840-64db-4e5b-a347-334cba7971c1.jpg

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)

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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Question

### 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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