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Shifting, Reflecting, Etc.

I hope you got really good at shifting parabolas around!  It works the same way for the Graphs to Know & Love.

Let's review:

y = a( x - h )^2 + k ... a shows how tall? Right-side-up or up-side-down? ... The shift is inside the ( ) with the x... horizontal shift ... Hanging off on the end ( k ) is the vertical shift

Do these for some review:

Graphy = -3x^2

 

Graphy = ( x + 4 )^2

 

Graphy = x^2 - 1

OK, let's go!

 
Graph y = | x - 2 | ... It's V guy! ... Shift is inside with the x... shift right to x = 2 ... | 2 - 2 | = | 0 |Graph of the V guy shifted to the right 2