Question

Which absolute value function defines this graph?

Answer 1

The vertex of the graph is at (-2, 3).

This means the equation is of the form
`f(x)=a|x+2|+3`.

Substituting in the coordinates of one of the other points on the graph that is not the vertex, such as (-1, -1),

`-1=a|-1+2|+3\\\\-1=a+3\\\\a=-4`

So, the equation is
`\boxedx+2`