Trigonometric Function Translations
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Equation to transform cos
a(cosθ - h) + k
Equation to transform sin
a(sinθ -h) + k
Equation to transform tan
a(tanθ - h) + k
a stands for
amplitude, 1/2 (maximum value - minimum value)
h is a called a
phase shift
If h<0
shift h units to the left
If h>0
shift h units to the right
iIf k<0
shift k units down
If k>0
shift k units up
if a <0
the graph will have lower peaks and valleys If a is 1/2, the maximum value is 1/2, the minimum value is -1/2
if a>0 then
the graph will have steeper peaks and valleys If a is 2, the maximum value is 2, the minimum value is -2
