# Thread: Graphs of Sin(x) and Cos(x) question??

1. ## Graphs of Sin(x) and Cos(x) question??

What is the amplitude, period and phase shift?

I got the Period and Amplitude right.

y=2sin(x-pie) +3
|A| |2| =2 amplitude lies between -2 and 2 yaxis then vertical shift up 3 units

period is 2Pie I did 2pie/1 which is 2 pie.

Now for phase shift I did pie/2pie and on me answer page says answer is pie.

2. ## Re: Graphs of Sin(x) and Cos(x) question??

I got this one wrong to y=-2 cos(pie/2x+pie)
Amplitude is 2
Period 4
Phase shift I had as -pie/4

4. ## Re: Graphs of Sin(x) and Cos(x) question??

I think your amplitude is correct, but I think the phase shift is simply the additional factor within the sine function: $-\pi$

We don't know the period.
All we know is $\omega$t = 2 $\pi$t/T = x.
But we don't know $\omega$ so we cannot calculate the period.
All we can do is express T in the form T = (2 $\pi$t)/x

5. ## Re: Graphs of Sin(x) and Cos(x) question??

I made a mistake I divide by the period when Im supposed to divide the b part for the denominator y=Asin (Bx-C)+D

6. ## Re: Graphs of Sin(x) and Cos(x) question??

Please have a look at the site
Transformations of the Sine and Cosine Graphs
the author has given good examples to make concept very clear.

7. ## Re: Graphs of Sin(x) and Cos(x) question??

Originally Posted by Melcarthus
y=2sin(x-pie) +3
[rant]
It's spelled "pi", not "pie." Get it right!
[/rant]

-Dan