Use the image to answer the question.

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

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
.

Answer 1

When the function \( y = f(x) \) is transformed to \( y = 4f(x) \), it means that the output values of the parent function are being multiplied by 4. This is a vertical stretch of the function.

Therefore, the correct description of the transformed function \( y = 4f(x) \) is:

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