Question

Q # 13Below are the graphs of. y= |X| - 9

Answer 1

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 -

`0=|x|,\\x=0.`

2nd graph -

`0=|x|-9,\\ |x|=9,\\x=\pm 9.`

• The y-intercept can be obtained substituting x=0, then

1st graph -

`y=|0|,\\y=0.`

2nd graph -

`y=|0|-9,\\y=-9.`

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.