Question

What is the absolute value equation for this graph?

Y = |x + 2| + 4

Y = |x + 2| - 4

Y = |x - 2| + 4

Y = |x + 2| - 4

Answer 1

y = -|x +2| +4

Explanation:

The parent function y=|x| is shifted to the left 2 units, so x is replaced by x+2. It is reflected across the x-axis, so is multiplied by -1: -|x+2|. It is shifted up 4 units, so has 4 added to it:

y = -|x+2| + 4