Show your work No work no credit Use transformations to grap

Show your work! No work, no credit! Use transformations to graph the function over one-period interval. Describe each step! y = 3 cos [1/2(x + pi)] - 1 A = P = V.A. Phase Shift Vertical Shift Range

Solution

1. y=3cos[1/2(x + pi)] -1

    y= 3 cos(x/2 + pi/2) -1

This is of the form y=A cos(Bx + C) +D

Here A is the amplitude which is 3 here

B=1/2       and       C=pi/2

Period=2pi/B = 2pi/1/2=4pi

Phase shift=-C/B = -pi

Vertical shift=-1

Vertical asymptote= none

Range=[-3,3]