CH 4 B CSolutionA Recall that the period for y acosbx c d

CH 4

B)

C)

Solution

A) Recall that the period for y = a*cos(bx + c) + d is given by 2/|b|.
Since y = cos(2x) = 1*cos(2x + 0) + 0, we see that b = 2. Therefore, the period is:
2/|b| = 2/|2| = 2/(2) = 1.

B)  the graph of y=sin(x)+5 will be the same as y=sinx, only it will be translated, or shifted, 5 units up

C)  the graph of y=sin(x + pi) will be the same as y=sinx, only it will be translated, or shifted, pi units left