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math

AB
constant functionF(x) = c
Direct variationf(x) = mx
Absolute ValueF (x) = |x|
Quadraticf(x) = x2
CubicF (x) = x ^3
Exponentialf (x) = b ^x
Square RootSquare Root of x
Goes up K unitsy = |x| +k
Goes down k unitsy = |x| - k
Goes right k unitsy = |x-h|
Goes left h unitsy = | x +h|
vertical stretch, a >1y = a |x|
vertical compression, 0<a<1y = a |x|
Reflection in the x axisy = - |x|
Reflection in the y axisy = |-x|
f(x) shifted upward a unitsf(x) + a
f(x) shifted downward a unitsf(x) – a
f(x) shifted left a unitsf(x + a)
f(x) shifted right a unitsf(x – a)
f(x) flipped upside down ("reflected about the x-axis")–f(x)
the mirror of f(x) ("reflected about the y-axis")f(–x)



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