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 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

The transformed function \( y = 4f(x) \) indicates that the parent function \( f(x) \) has been vertically stretched by a factor of 4. This means that all y-values of the parent function are multiplied by 4.

So, the correct response is:

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