Question

MULTIPLE CHOICE? PLEASE HELP!:)
Describe how the graphs of y = |x| and y = |x + 3| are related.

a.The two graphs are the same.
b.The graphs have the same shape. The y-intercept of y=|x| is 0, and the x-intercept of the second graph is 3.
c.The graphs have the same shape. The y-intercept of y=|x| is 0, and the y-intercept of the second graph is 3.
d.The graphs have the same shape. The y-intercept of |x| is 0, and the x-intercept of the second graph is –3.

Answer 1

C.

If you plug the values into the equations, you can easily see that only C works. Remember that the y intercept is (0, y). For the equation y = |x + 3|, if x is 0, then y is 3, so the answer must be c.

Answer 2

it is not C

Answer 3

it is D because if \(x=-3\) then \(|x+3|=|-3+3|=0\)

Answer 4

Shoot, I was trying to make it easier to understand, but I guess the way I explained it didn't work. Anyways, aren't both B and C true then? Because the y intercept is 3 and the x is negative 3.