Which statement best describes the effects on the graph of f(x) = 2 when f(x) is replaced by -2f(x + 3) - 5? The graph is reflected over the y-axis, vertically compressed by a scale factor of 5, horizontally translated 3 units to the left, and vertically translated 5 units down. 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. 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. The graph is reflected over they-axis, vertically compressed by a scale factor of horizontally translated 3 units to the left, and vertically translated 5 units up. D.
Which statement best describes the effects on the graph of f(x) = 2 when f(x) is replaced by -2f(x + 3) - 5? The graph is reflected over the y-axis, vertically compressed by a scale factor of 5, horizontally translated 3 units to the left, and vertically translated 5 units down. 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. 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. The graph is reflected over they-axis, vertically compressed by a scale factor of horizontally translated 3 units to the left, and vertically translated 5 units up. D.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which statement best describes the effects on the graph of f(x) = 2 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 5, horizontally
translated 3 units to the left, and vertically translated 5 units down.
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.
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.
1
The graph is reflected over they-axis, vertically compressed by a scale factor of 5, horizontally
translated 3 units to the left, and vertically translated5 units up.
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