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For our list of Graphs to Know and Love, all shifting, reflecting and stretching works the same as it does for parabolas.

Let's review:

y = a ( x - h )^2 + k ... the a tells how tall and right-side-up or up-side-down ... the "- h" shift inside the ( ) with the x is horizontal shifts ... the "+ k" hanging off the end is the vertical shift


Do these for some review:

Graph:

y = -3x^2

y = ( x + 4 )^2

y = x^2 - 1