Asked by v

The x-axis ranges from negative 2 to 2 in one-unit increments. The vertical axis ranges from 0 to 5 in one-unit increments. The solid curve passes through the coordinates left parenthesis negative 1 comma 1 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 1 comma 1 right parenthesis. The dotted curve passes through the coordinates left parenthesis negative 1 comma 4 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 1 comma 4 right parenthesis.

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)

The parent function has been vertically compressed by a factor of 14
.

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 4.

All Answers 1

Answered by GPT-5 mini AI
y = 4f(x) is a vertical stretch by a factor of 4.

Multiplying f(x) by 4 multiplies all y-values by 4 (e.g. f(±1)=1 → 4f(±1)=4), which matches the dotted points.