Which statement best describes the effects on the graph of f(x) = 2x when f(x) is replaced by −2f(x + 3) − 5? A The graph is reflected over the y-axis, vertically compressed by a scale factor of , horizontally translated 3 units to the left, and vertically translated 5 units down. B The graph is reflected over the x-axis, vertically stretched by a scale factor of 2, horizontally translated 3 units to the left, and vertically translated 5 units down. C The graph is reflected over the x-axis, vertically stretched by a scale factor of 2, horizontally translated 3 units to the right, and vertically translated 5 units down. D The graph is reflected over the y-axis, vertically compressed by a scale factor of , horizontally translated 3 units to the left, and vertically translated 5 units up.
Which statement best describes the effects on the graph of f(x) = 2x when f(x) is replaced by −2f(x + 3) − 5? A The graph is reflected over the y-axis, vertically compressed by a scale factor of , horizontally translated 3 units to the left, and vertically translated 5 units down. B The graph is reflected over the x-axis, vertically stretched by a scale factor of 2, horizontally translated 3 units to the left, and vertically translated 5 units down. C The graph is reflected over the x-axis, vertically stretched by a scale factor of 2, horizontally translated 3 units to the right, and vertically translated 5 units down. D The graph is reflected over the y-axis, vertically compressed by a scale factor of , horizontally translated 3 units to the left, and vertically translated 5 units up.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Question
Which statement best describes the effects on the graph of f(x) = 2x when f(x) is replaced by −2f(x + 3) − 5?
A
The graph is reflected over the y-axis, vertically compressed by a scale factor of , horizontally translated 3 units to the left, and vertically translated 5 units down.
B
The graph is reflected over the x-axis, vertically stretched by a scale factor of 2, horizontally translated 3 units to the left, and vertically translated 5 units down.
C
The graph is reflected over the x-axis, vertically stretched by a scale factor of 2, horizontally translated 3 units to the right, and vertically translated 5 units down.
D
The graph is reflected over the y-axis, vertically compressed by a scale factor of , horizontally translated 3 units to the left, and vertically translated 5 units up.
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