Question

Graph the sinusoid.

Answer 1

y = -2cos(2(x+pi/2)) -1

Answer 2

Here's what I have so far:
The graph passes through the point (-pi/2, -1)
The amplitude is 2.
The maximum is y=1 and the minimum is y = -3
The period is pi.

Correct me if I'm wrong about any of the above. I'm not sure what to do next... I have the graph ready, but I'm not sure exactly how to draw it... after it goes through the point (-pi/2, -1) does it go up or down? How can I tell?

Answer 3

if it's in the form "(2(x+pi/2)" aren't you supposed to multiply..?

2x + pi

Answer 4

since 2 is outside

Answer 5

nvm you did it right

Answer 6

Umm I don't think so... The 2 is the b, which means it's a vertical stretch/shrink, and the +pi/2 means it goes left 2 units... right?

Answer 7

I know, but the 2 is outside of the parenthesis. You got the period right

Answer 8

Lol I think I'm getting a hang of this graphing trig functions thing. And then they slap me with something new...

Answer 9

So should I distribute it?

Answer 10

that's what I thought./..

Answer 11

hmm

Answer 12

then what..

Answer 13

if you do distribute it, and get a phase shift of just pi, (which is the period), this is how it'll look like