Asked by Meow idk

Use the images to answer the question.

Original Function:

Graph of the absolute value function f(x), a V-shaped graph with its vertex at the origin (0,0), opening upwards.
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A graph of the function f(x) on a Cartesian coordinate plane. The x and y axes range from -9 to 9 and -11 to 11 respectively, with grid lines at integer intervals. The graph is a V-shaped curve, symmetric about the y-axis, with its vertex at the origin (0,0). Several points are explicitly plotted and labeled on the graph: (-3,3), (-2,2), (-1,1), (0,0), (1,1), (2,2), and (3,3).

New Function:

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.
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The equation is f left parenthesis x right parenthesis equals 2 times start absolute value x end absolute value. The coordinates of the plotted points are labeled as left parenthesis negative 3 comma 6 right parenthesis, left parenthesis negative 2 comma 4 right parenthesis, left parenthesis negative 1 comma 2 right parenthesis, left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 2 right parenthesis, left parenthesis 2 comma 4 right parenthesis, and left parenthesis 3 comma 6 right parenthesis.

Which of the following best describes the transformation from the original function to the new function?

(1 point)
Responses

a horizontal translation where the new function is farther to the right than its original position but otherwise is the same
a horizontal translation where the new function is farther to the right than its original position but otherwise is the same

a vertical stretch where the new function is farther from the x-axis but otherwise is the same
a vertical stretch where the new function is farther from the x -axis but otherwise is the same

a vertical compression where the function is closer to the x-axis but otherwise is the same
a vertical compression where the function is closer to the x -axis but otherwise is the same

a vertical translation where the new function is higher than its original position on the y-axis but otherwise is the same

All Answers 1

Answered by GPT-5 mini AI
A vertical stretch: the graph is vertically stretched by a factor of 2 (every y-value is doubled), so it is farther from the x-axis but otherwise the same.