Question

Describe how the graph of y=|x|-12 is like the graph of y=|x| and how it is different?

Answer 1

The graph of y = |x| - 12 can be transformed from y = |x| by:

Shift it downward by 12 units.

The whole shape of the two graphs will be the same.

Answer 2

Both functions are similar, because basically they have the same behaviour, but the difference is that they start from a different vertex. The reason of this is because
`y=|x|-12` is a translation of
`y=|x|`.

Basically, the first function is similar to the second one, but translated downwards 12 units.

So, they are similar in behaviour, we could say parallel, but different on the position of the vertex, the first is at y=-12, and the second one at y=0.

The graph of each function is attached, there you can observe the similarity and different we mentioned before.