Translations of Sine and Cosine Functions Ch.6 Section 5 Translations of Sine and Cosine Functions

A phase shift is simply a horizontal change. The phase shift of the function y = A cosk( + C) is C. If C > 0, the shift is to the left. If C < 0, the shift is to the right.

Example State the phase shift of the following function. Then sketch the function and y = cos on the same coordinate plane.

Fine the phase shift of…

A vertical shift is simply a vertical change. The vertical shift of the function y = Asink + C is C. If C > 0, the shift is up. If C < 0, the shift is down.

Example State the vertical shift of the following function. Then sketch the function and y = cos on the same coordinate plane.

State the amplitude, period, phase shift, and vertical shift for

Write an equation of a sine function with amplitude of 4, period π, phase shift –π/8, vertical shift 6. 1, 2, 3 go!

Graphing Compound Functions You need to make a table of values to find the pattern. Graph y = x + cos(x)