Question

what is the amplitude of h(t)=-3+2sinθ?

Answer 1

In y = Asin(Bx), A is the amplitude. The sine function will oscillate about the horizontal line, y = 0 (or the x-axis).

In y = Asin(Bx) + k, A is still the amplitude. The sine function will oscillate about the horizontal line, y = k.

Answer 2

so the amplitude is 2?

Answer 3

Yes.

Answer 4

do you also know how to find the period, vertical displacement, and horizontal displacement?

Answer 5

If y = Asin(Bx+C) + D,
Amplitude is A.
Period is (2*pi) / B
Vertical displacement is D
Horizontal displacement is -C/B