Question

NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.

The graph of which function has an amplitude of 3 and a right phase shift of π/4?

A: y= 3sin2(x- π/4)

B: y = 3 + sin2(x- π/4)

C:y = 3 + sin2(x+ π/4)

D:y = 3sin2(x+π/4)​

Answer 1

`D.\ y = 3\sin(2(x + (\pi)/(4)))`

Explanation:

Given

`A = 3` --- Amplitude

`C = (\pi)/(4)` --- Right phase shift

Required

Identify the function

A sinusoidal function is defined as:

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

Substitute values for A and C

`y = 3\sin(B(x + (\pi)/(4))) + D`

By comparison, only option (D) has the above format where

`y = 3\sin(2(x + (\pi)/(4)))`

Hence (D) is correct