Write an equation for a function that has a graph with the given characteristics. The shape of y = |x| is vertically stretched by a factor of 7.7. This graph is then reflected across the x-axis. Finally, the graph is shifted 0.57 units downward. OA. f(x)=7.71-x|-0.57 OB. f(x)= -7.7|x|-0.57 O c. f(x)=7.7|x|-0.57 OD. f(x)=7.7|x -0.57|

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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QUESTION 23

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**Problem Statement:**
Write an equation for a function that has a graph with the given characteristics.

The shape of \( y = |x| \) is vertically stretched by a factor of 7.7. This graph is then reflected across the x-axis. Finally, the graph is shifted 0.57 units downward.

---

**Answer Choices:**

A. \( f(x) = 7.7| - x | - 0.57 \)

B. \( f(x) = - 7.7|x| - 0.57 \)

C. \( f(x) = 7.7|x| - 0.57 \)

D. \( f(x) = 7.7|x - 0.57| \)
Transcribed Image Text:**Problem Statement:** Write an equation for a function that has a graph with the given characteristics. The shape of \( y = |x| \) is vertically stretched by a factor of 7.7. This graph is then reflected across the x-axis. Finally, the graph is shifted 0.57 units downward. --- **Answer Choices:** A. \( f(x) = 7.7| - x | - 0.57 \) B. \( f(x) = - 7.7|x| - 0.57 \) C. \( f(x) = 7.7|x| - 0.57 \) D. \( f(x) = 7.7|x - 0.57| \)
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