A coordinate plane shows two v-shaped curves.
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)
Responses
The parent function has been vertically stretched by a factor of 4.
The parent function has been vertically stretched by a factor of 4.
The parent function has been vertically compressed by a factor of 14
.
The parent function has been vertically compressed by a factor of Start Fraction 1 over 4 End Fraction .
The parent function has been vertically compressed 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 stretched by a factor of Start Fraction 1 over 4 End Fraction .
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1 answer
The correct response is:
The parent function has been vertically stretched by a factor of 4.
In the transformation \( y = 4f(x) \), the "4" indicates that the output values of the parent function \( f(x) \) are multiplied by 4, which results in a vertical stretch.
