Use the image to answer the question.

An upward open parabola passes through 5 plotted points on a coordinate plane with x-axis ranging from negative 12 to 12 in increments of 2 and y-axis ranging from negative 6 to 18 in increments of 2.

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

(1 point)
Responses

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 equals x squared 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.
This is a vertical stretch of the parent function y equals x squared 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-intercept.
This is a vertical stretch of the parent function y equals x squared 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.

1 answer

The correct response is:

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

A vertical stretch occurs when the y-values of the points are increased relative to the corresponding x-values from the parent function. The changes in the y-coordinates indicate that the parabola is opening wider than the basic parabola (y = x^2).

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