Question

Determine the Amplitute, Period, Phase Shift of the graph function over 1 Period.
Indicate the X-Intercepts and Coordinates of Highest and Lowest Points on the graph.

Y = sin (3x + pi/2 )
ILL DRAW OUT WHAT I KNOW.

Answer 1

@Outkast3r09
I redid the problem so its clean and fresh.

Answer 2

@nincompoop do you think you can help me understand this problem?
My instructor worked it out in the class, but as I was writing it down and listening to her talk, she kept going on erasing and explaing and I became lost.

Answer 3

period is good --> 2pi/3

the phase shift is actually not pi/2 though,
the trick is to set the "inside" equal to 0
--> 3x+pi/2 = 0
--> x = -pi/6

this means the graph shift to left by pi/6
this is also a "x-intercept" since sin(0) = 0

Answer 4

okay