Question

A sine function has an amplitude of 3, a period of π, and a phase shift of pi over 2 period What is the y-intercept of the function?

Answer 1

Answer: 0

Step-by-step explanation: trust me

Answer 2

The sine fuction we have is

`f(x)=3\sin \mleft(2x+(\pi)/(2)\mright)`

If we want the y-intercept, we must put x = 0, then

`\begin{gathered} f(x)=3\sin (2x+(\pi)/(2)) \\ \\ f(0)=3\sin ((\pi)/(2)) \\ \\ f(0)=3\cdot1 \\ \\ f(0)=3 \end{gathered}`

Therefore the y-intercept is 3.