1 of 51 of 5 Items
Question
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.
The graphs have the same shape. The y -intercept of y is equal to absolute value of x is 0 and the y -intercept of the second graph is –9.
The graphs have the same shape. The y-intercept of y=|x| is 0 and the x-intercept of the second graph is -9.
2 of 52 of 5 Items
Question
Graph y=|x|−2
.
(1 point)
Responses
Graph
Image with alt text: Graph
Graph
Image with alt text: Graph
Graph
Image with alt text: Graph
Graph
Since I'm unable to see the images you provided, I can't give you the correct response without the visuals. Could you please provide a description of the graph for me to identify the correct label?
4 of 54 of 5 Items
Question
Write an equation for the translation of y=|x|
.
2 units down.
(1 point)
Responses
y=|x|+2
y is equal to absolute value of x plus 2
y=|x|−2
y is equal to absolute value of x minus 2
y=|x−2|
y is equal to start absolute value x minus 2 end absolute value
y=|−2x|
The correct answer is:
y = |x| - 2