# How do you graph y>=x^2+2?

Jul 29, 2017

See below

#### Explanation:

$y \ge {x}^{2} + 2$

First note that $y \ge 2 \forall x \in \mathbb{R}$

If we consider only the least case for $y$ we have:

$y = {x}^{2} + 2$

This is the standard parabolic function $y = {x}^{2}$ transformed ("shifted") 2 units positive ("up") on the $y -$axis.

All points greater or equal to the least case are therefore shown as the shaded area on the graph below.

graph{y>=x^2+2 [-11.28, 11.22, -1.09, 10.16]}