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 y-intercept.

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-coordinates of each point.

This is a vertical stretch of the parent function y=x2
due to the changes in the x-intercept.
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Answer 1

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

Reason: each y-value is multiplied by 4 (e.g., (-2,4) → (-2,16)), x-values (including the vertex at (0,0)) stay the same.