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Reflection over the x-axis
f(x) → -f(x)
Reflection over the y-axis
f(x) → f(-x)
Reflection over the origin
f(x) → -f(-x)
Even function
f(x) = f(-x)
Odd function
f(x) = -f(-x)
Horizontal shift
f(x) → (right) → f(x-a); f(x) → (left) → f(x+a)
Vertical shift
f(x) → (up) → f(x)+a; f(x) → (down) → f(x)-a
Horizontal dilations
f(x) → (stretch) → f(x/a); f(x) → (shrink) → f(ax)
Vertical dilations
f(x) → (stretch) → a*f(x); f(x) → (shrink) → f(x)/a
Note 
Flashcard (25)