Question

A sine function has an amplitude of 4, a period of π, and a phase shift of pie/2. What is the y-intercept of the function?

A.) (0,-2)
B.) (0,0)
C.) (0,2)
D.) (0,4)

Answer 1

transformation of a sin function

y = A sin(B(x + C)) + D

where A is the amplitude (given as 4), period = 2pi/B, so you'll plug in the period of pi and solve for B and plug it into the function; C is the sin shift (given as pi/2), D is the vertical shift (there's no vertical shift stated so D = 0). plug in the appropriate A, B, and C values and then calculate the y-intercept by plugging in x = 0.

Answer 2

I'm thinking (0,0)

Answer 3

good