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

Aug 22, 2017

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 $\left(- 2 , 3\right)$

The right side graph has a slope of 1, therefore, we shall move 2 to the right of the minimum and plot the point $\left(0 , 5\right)$. Then we shall draw a ray from $\left(- 2 , 3\right)$ and through $\left(0 , 5\right)$ 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 $\left(- 4 , 5\right)$. Then we shall draw a ray from $\left(- 2 , 3\right)$ and through $\left(- 4 , 5\right)$ toward infinity.