Question

The equation is f left parenthesis x right parenthesis equals 4 times x squared. The coordinates of the plotted points are labeled as left parenthesis negative 2 comma 16 right parenthesis, left parenthesis negative 1 comma 4 right parenthesis, vertex at left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 4 right parenthesis, and left parenthesis 2 comma 16 right parenthesis.

Interpret the key features of the graph. What type of transformation occurred from the parent function?

(1 point)

This is a vertical stretch of the parent function y=x2
due to the changes in the x-intercept.

This is a vertical stretch of the parent function y=x2
due to the changes in the y-coordinates of each point.

This is a vertical stretch of the parent function y=x2
due to the changes in the x-coordinates of each point.

This is a vertical stretch of the parent function y=x2
due to the changes in the y-intercept.

Answer 1

Correct answer:
This is a vertical stretch of the parent function y = x^2 due to the changes in the y-coordinates of each point.

Explanation: f(x) = 4x^2 multiplies every y-value of y = x^2 by 4 (e.g., (1,1) → (1,4), (2,4) → (2,16)), so the graph is stretched vertically by factor 4.