Question

Let the function f(x) have he form f(x) = Acos (x+c). To produce a graph that matches the one shown below, what must the value of C be?

Answer 1

Normally cosine starts here, with the first peak along the y-axis.

Answer 2

So where did that peak move to?
It looks like it could shifted to -2 OR 4, yes?

So we need to determine which.

Answer 3

\[\Large\rm A \cos(x+C)\]
If C=4,\[\Large\rm A \cos(x+4)\]

Does that look correct to you?
Would that shift the function to the left by 4 or to the right by 4?

Answer 4

um, idk cause I'm not sure where you got 4 from to be honest. I am very bad at trig

Answer 5

The way we're tracking the shift is by looking at this first mountain top.

We're determining whether or not it moved to this location where x=4.