3.6

Topic

Sinusoidal Function Transformations 1 b 1 2 b The graph of the multiplicative transformation g ( ) = sin(b ) of the sine function f ( ) = sin is a horizontal dilation of the graph of f and differs in period by a factor of . The same transformation of the cosine function yields the same result. 3.6.A.6 The graph of y = f ( ) = asin(b( + c)) + d has an amplitude of a units, a period of units, a midline vertical shift of d units from y = 0, and a phase shift of −c units. The same transformations of the cosine function yield the same results.