Multiple Choice

Below are the graphs of y=|x| and y=|x|−9 . How are the graphs related?

Two graphs are shown.
The first graph shows a symmetric V shape that opens up with a vertex at the origin. The left side of the V has a slope of negative 1. The right side of the V has a slope of 1.

The second graph shows a symmetric V shape that opens up with a vertex at left parenthesis 0 comma negative 9 right parenthesis. The left side of the V has a slope of negative 1. The right side of the V has a slope of 1.

(1 point)
Responses

The graphs have the same shape. The y-intercept of y=|x| is 0 and the x-intercept of the second graph is –9.
The graphs have the same shape. The y -intercept of y is equal to absolute value of x is 0 and the x -intercept of the second graph is –9.

The graphs have the same y-intercept. The second graph is steeper than y=|x|.
The graphs have the same y -intercept. The second graph is steeper than y is equal to absolute value of x .

The two graphs are the same.
The two graphs are the same.

The graphs have the same shape. The y-intercept of y=|x| is 0 and the y-intercept of the second graph is –9.

1 answer

The graphs have the same shape. The y-intercept of y=|x| is 0 and the y-intercept of the second graph is –9.
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