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Please help me on my Homework.

So I started working on my for my Exam and I wanted to know if I get this graph right!

So a graph is given to me

Attachment 28870<<< this is the graph

So I looked for the amplitude and the period..

and I think that the amplitude is

[A]= 2-(-2)=4/2= **2, so amplitude is 2**

Then the period I am not really sure.... I have 2pi/4= **pi/2, so I assume that the period is pi/2**

Now The example ask me to Find an equation for sine function for the graph

So I conclude that is **y=-2sin(pi/2x-pi/2) since it looks like an inverse curve for sine.**

and Now it ask me a cosine function

So I conclude that is **y= 2cos(pi/2x-pi/2) **

*PLEASE HELP ME.... I wan't to know if I did it right! *(Cool)

Re: Please help me on my Homework.

No, the period is not $\displaystyle \displaystyle \begin{align*} \frac{\pi}{2} \end{align*}$. Choose a starting point on your graph, e.g. x = 0. How far do you move along the x axis until the graph repeats itself?

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Re: Please help me on my Homework.

HI,

No, you didn't quite get it right. The attachment shows a correct solution and how I did it:

Attachment 28878