Question

Find a formula for the graph of the function y=f(x) given in the figure above.
http://i.imgur.com/CVR2U6K.png?1

Answer 1

Hint: This surely looks like a COSINE function to me. Look at the right half of the graph and compare it to an illustration of y=cos x.

What do you need to know to be able to describe this graph further?

Answer 2

I know it needs to be reflected so the formula will be negative, but I don't know how it transforms so two of the humps are at y=5 instead of y=1

Answer 3

OK. Do you see that this cosine graph has been offset from the x-axis by 2 units?
I'm going to assume that you already know how to graph y=cos x.
What would the graph look like if y ou were to graph y=cos x + 2?
I'm asking you to graph these two functions and them compare your work to the given graph.

Answer 4

Doing that will shift the graph up two units. But I do not see how that helps.

Answer 5

OK:
Are you able to use the Draw utility (below) to share y our drawings?

Answer 6

google will create graphs for you and I just typed that equation into google