# How do you graph the inequality y<x^2-16?

Sep 24, 2017

See below.

#### Explanation:

Graph $y = {x}^{2} - 16$

This will give you the boundary of the regions. Remember to use a dashed line as this is a less than and not a less than or equal to inequality, so the curve will not be an included region.

Test for a coordinate inside the parabola and outside the parabola.

Inside parabola:

$\left(0 , 5\right)$

$5 < {0}^{2} - 16$

FALSE

Outside parabola:

$\left(10 , 5\right)$

$5 < {10}^{2} - 16 \implies 5 < 84$

TRUE