Question

The graph of a cosine function has an amplitude of 4, a vertical shift of 1, and a period of 3. These are the only transformations of the parent function.Write the equation of the graph in terms of cosine?

Answer 1

The solution:

Given:

cosine function has an amplitude of 4, a vertical shift of 1, and a period of 3.

Required:

To write out the equation of the graph in terms of cosine.

So, the required equation is:

$f(x)=4\cos(\frac{2\pi}{3}x)+1$

Therefore, the correct answer is:

$f(x)=4\cos(\frac{2\pi}{3}x)+1$