# How do you graph the inequality #y<=x^2-4#?

##### 1 Answer

Sep 5, 2017

See below

#### Explanation:

First consider the limiting case:

This is a parabola with a absolute minimum value

(since the coefficient of

Since there is no term in

Considering

From the results above, it is possible to graph

Now, turning to the inequality:

This may be represented graphically as the entire area of the

graph{y<=x^2-4 [-10, 10, -5, 5]}