Question

List the amplitude, period, phase shift and vertical shift of the function (t) = 5 sin 2t.

Answer 1

Amplitude: 5. Period: pi. Phase shift: 0. Vertical shift:0

Answer 2

Amplitude: 5

Period: pi

Phase shift: 0

Vertical shift:0

Explanation:

A sin( bx-c)+d

Amplitude: |a|=5

Period: 2pi/b

Plug in b which in the equation is 2

So 2pi/2 and then cross out the 2s so b= pi

Phase shift=-c/b and plugging in c=0 and b=2 you get 0/2 which equals 0

Vertical shift=d and since there is no d value the vertical shift is just 0