The first graph represents the function y=|x| and the second graph represents the function y=|x|-9.
As you can see they have the same shape.
- The x-intercepts of the first and second graphs can be obtained substituting y=0, then:
1st graph -
[tex]0=|x|,\\x=0.[/tex]
2nd graph -
[tex]0=|x|-9,\\ |x|=9,\\x=\pm 9.[/tex]
- The y-intercept can be obtained substituting x=0, then
1st graph -
[tex]y=|0|,\\y=0.[/tex]
2nd graph -
[tex]y=|0|-9,\\y=-9.[/tex]
From the previous statements you can conclude that the graphs have the same shape and the y-intercept of y=|x| is 0, the y-intercept of the second graph is -9.
Answer: correct choice is C.
