# How do you graph y=x^2 - 2?

Jul 10, 2018

Below

#### Explanation:

$y = {x}^{2} - 2$ is the graph $y = {x}^{2}$ shifted down by 2 units

Below is $y = {x}^{2}$ graph{x^2 [-10, 10, -5, 5]}
Below is $y = {x}^{2} - 2$ graph{x^2-2 [-10, 10, -5, 5]}

The general idea is that if you have an equation $y = {x}^{2} + a$ where a can be any integer, you shift up by a units if a is positive and shift down by a units if a is negative