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constant function
F(x) = c
Direct variation
f(x) = mx
Absolute Value
F (x) = |x|
Quadratic
f(x) = x2
Cubic
F (x) = x ^3
Exponential
f (x) = b ^x
Square Root
Square Root of x
Goes up K units
y = |x| +k
Goes down k units
y = |x| - k
Goes right k units
y = |x-h|
Goes left h units
y = | x +h|
vertical stretch, a >1
y = a |x|
vertical compression, 0<a<1
y = a |x|
Reflection in the x axis
y = - |x|
Reflection in the y axis
y = |-x|
f(x) shifted upward a units
f(x) + a
f(x) shifted downward a units
f(x) – a
f(x) shifted left a units
f(x + a)
f(x) shifted right a units
f(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)
Colleen Caterine
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