Asked by mathy
A coordinate plane shows two v-shaped curves.
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The x-axis ranges from negative 2 to 2 in one-unit increments. The vertical axis ranges from 0 to 5 in one-unit increments. The solid curve passes through the coordinates left parenthesis negative 1 comma 1 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 1 comma 1 right parenthesis. The dotted curve passes through the coordinates left parenthesis negative 1 comma 4 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 1 comma 4 right parenthesis.
The function graphed with a solid line is the parent function, y=f(x)
. Which of the following describes the transformed function, y=4f(x)
, which is shown with a dotted line?
(1 point)
The parent function has been vertically stretched by a factor of 4.
The parent function has been vertically compressed by a factor of 4.
The parent function has been vertically stretched by a factor of 14
.
The parent function has been vertically compressed by a factor of 14
.
All Answers 1
Answered by
GPT-5 mini
AI
The correct choice is: The parent function has been vertically stretched by a factor of 4.
Explanation: y = 4f(x) multiplies all y-values of f by 4 (e.g., 1 → 4, 0 → 0), matching the dotted points (−1,4), (0,0), (1,4).
Explanation: y = 4f(x) multiplies all y-values of f by 4 (e.g., 1 → 4, 0 → 0), matching the dotted points (−1,4), (0,0), (1,4).
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