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.

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

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

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: $\displaystyle -\pi$

We don't know the period.

All we know is $\displaystyle \omega $t = 2$\displaystyle \pi$t/T = x.

But we don't know $\displaystyle \omega$ so we cannot calculate the period.

All we can do is express T in the form T = (2$\displaystyle \pi$t)/x

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

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.

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

Quote:

Originally Posted by

**Melcarthus** y=2sin(x-pie) +3

[rant]

It's spelled "pi", not "pie." (Headbang) Get it right!

[/rant]

-Dan