A coordinate plane shows two v-shaped curves.

Question

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 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 .

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 a vertical stretch of the parent function \( y = f(x) \) by a factor of 4.

Thus, the correct response is:

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