Question

Write an equation to match each graph:

Answer 1

y=|x-1|-1

Explanation:

Answer 2

From what I know this graph looks like that of a modulus function except it's shifted 1 unit to right and 1 unit below the origin.

So the original equation must be:
y = |x|

And the transformed equation (aka the equation if this graph) must be,

y+1 = |x| -1

y = |x| -2