Question

Question

Use the image to answer the question.

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 14
.
The parent function has been vertically stretched by a factor of Start Fraction 1 over 4 End Fraction .

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 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 4.
The parent function has been vertically compressed by a factor of 4.
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Answer 1

The transformed function \( y = 4f(x) \) indicates that the parent function \( f(x) \) has been vertically stretched. When the coefficient of the function (in front of \( f(x) \)) is greater than 1, as it is in this case (4), it indicates a vertical stretch.

Therefore, the correct description of the transformed function is:

The parent function has been vertically stretched by a factor of 4.