Ask a New Question
Menu

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 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 y-coordinates of each point.
This is a vertical stretch of the parent function y equals x squared 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.
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 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.
Skip to navigation

1 answer

To interpret the key features of the graph of the upward opening parabola and its transformation from the parent function \(y = x^2\), the correct response would focus on the nature of the transformation.

Given that the parabola shows changes in the y-values while maintaining the same x-values (since all x-values are taken within the range given) and considering the description of a vertical stretch, the best choice among the options provided is:

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

This accurately captures that the transformation is vertical (stretching vertically) and relates specifically to the y-coordinates of the plotted points.