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Question

A V shaped line passes through 7 plotted points on a coordinate plane with x-axis ranging from negative 9 to 9 in increments of 1 and y-axis ranging from negative 11 to 11 in increments of 1. 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.
Describe the similarities in the transformations of each of the function graphs from their parent function.

(1 point)
Responses

The intercepts of both graphs have changed as a result of the transformation.
The intercepts of both graphs have changed as a result of the transformation.

Both graphs have been vertically stretched.
Both graphs have been vertically stretched.

No changes have been made from the parent function.
No changes have been made from the parent function.

Both graphs have been vertically compressed.

Answer 1

The best response from the options provided is:

The intercepts of both graphs have changed as a result of the transformation.

This option describes a common transformation characteristic of both a V-shaped graph (which represents an absolute value function) and an upward-opening parabola (which represents a quadratic function). Both graphs can have their intercepts affected by transformations such as translations (shifts) and scaling, which change their positions and values on the coordinate plane compared to their parent functions.