Question

choose the graph of y = 4/3 cos 3/2x

Answer 1

First, what are the maximum and minimum values for cos(x)

Answer 2

4/3
-4/3

Answer 3

\[-1 \le \cos(x) \le 1\]

Answer 4

the amplitude in this case, is A*cos(x) , 4/3

Answer 5

The graph isnt shifted vertically, so the max and min are 4/3, -4/3

now just have to figure out the period.

Answer 6

cosine has a period of 2pi/b

Answer 7

so would it be 2pi/ (3/2) ?

Answer 8

yes

Answer 9

so 4/3 pi for the period...

Answer 10

Graph:

y = A*cos( B*x + C) + D

make sliders for A, B, C, D, and play arouind with changing those values, and watch the graph

Answer 11

https://www.desmos.com/calculator