a) Amplitude :
b) Vertical Shift:
c) Phase Shift:
I think you may understand but it is worded very poorly. "the amplitude is the absolute value". Absolute value of what? The "amplitude is the distance from the "middle value" to either the maximum or minimum values so it is half the maximum value minus the minimum value. What is that?
"isnt the vertical shift, left pi/2"? A vertical shift is up and down, not left or right! If you have found the maximum and minimum values, then the "vertical shift" is the middle value: half the maximum value plus the minimum value. What is that?
Okay, what is "b" in this problem? (No, it is not pi/2. That is a "horizontal shift".)And is the period 4? Because i know that period is 2pi/b.
The period of sin(x) is 2pi: sin(x+ 2pi)= sin(x). Here, x is replaced by 2x+ pi/2. So if sin((2(x+ P)+ pi/2)= sin(2x+ pi/2), we must have 2(x+ P)+ \pi/2= 2x+ pi/2+ 2\pi. Solve that for P.