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f(x) = x²+2
translate up 2
f(x) = x²-2
translate down 2
f(x) = (x+2)²
translate right 2
f(x) = (x-2)²
translate left 2
f(x) = -√x
reflects across x-axis
f(x) = √-x
reflects across y-axis
f(x) = 1/2cosx
vertical compression by factor of 2
f(x) = 2cosx
vertical stretch by factor by 2
f(x) = cos2x
horizontal compression by factor of 2
f(x) = cos1/2x
horizontal stretcg by factor of 2