Question

How do you graph `y=abs(x+2) +3`?

Answer 1

Set the absolute value function equal to 0:

`|x + 2| = 0`

`x + 2 = 0`

`x = -2`

This tells us that the minimum point occurs at `(-2,3)`

The right side graph has a slope of 1, therefore, we shall move 2 to the right of the minimum and plot the point `(0,5)`. Then we shall draw a ray from `(-2,3)` and through `(0,5)` toward infinity.

The left side graph has a slope of -1, therefore, we shall move 2 to the left of the minimum and plot the point `(-4,5)`. Then we shall draw a ray from `(-2,3)` and through `(-4,5)` toward infinity.