OK, so we know what the graph of this guy looks like...

y = x^2 - 1

Graph of Standard Parabola Guy shifted down 1

 

So, what would the graph of this guy look like?

y = | x^2 - 1 |
 

Graph of Standard Parabola Guy shifted down 1
These are negative heights
(
y guys)...

Graph of Standard Parabola Guy shifted down one, but with the part below the x axis flipped upside-down
The absolute value makes
them positive!

y = | x^2 - 1 |

 


YOUR TURN:

Graphy = | 4 - x^2 |
Hint:  Graphy = -x^2 + 4first.