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Absolute Value Functions

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

y = x^2 - 1

a graph of y = x^2 - 1

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

y = | x^2 - 1 |

a graph of y = x^2 - 1 with the negative y values highlighted

graph of y = | x^2 - 1 |

These are negative heights (y guys)...
 

The absolute value makes them positive!
 

 

y = | x^2 - 1 |

 

YOUR TURN:

Graph
 		y = | 4 - x^2 |
 
*Hint: Graph  y = -x^2 + 4  first.