Question

how to sketch y = 3 cos theta - 4

Answer 1

Amplitude = 3
period = 2pi
vertical shift = -4

max = -4 +3 = -1
min = -4 -3 = -7

start at point (0,-1)
next points at theta = pi/2 , pi, 3pi/2, 2pi

Answer 2

use a unit circle

Answer 3

It's a lot like cos(theta), just taller and shifted down 4. The y intercept would be -1, and the minimum would be -7. Minimums and maximums would happen at the same place as on cos(theta)