Question

What are the coordinates of the vertex of the graph of y= |x+2|-4?

Answer 1

The vertex is `(-2,-4)`.

Explanation:

The equation for an absolute value function is

`y=abs(x-h)+k` where `(h,k)` is the vertex.

Compare that equation to the example.

`y=abs(x+2)-4`

The vertex is `(-2,-4)`.

Note that you have to change the sign of the number `h` inside the absolute value symbol because `h` is subtracted.