Question

The graph of the function is of the form
f(x) = a * sin(kc – c) + h.

Answer 1

The answer is : f(x) =3sin(2x+pi/2)

Explain

There 0,3 on the graph

You use this formula

f(x)=asin(kx-c)+h

and the maximum and minimum value of this function

a+ h and -a+ h

So a=3 and h=0

So we have

We have; f(x)= 3sin(kx - c)
and we have from the graph;

f(O)=3

So

Sin(-c) =-1

Therefore C=. Pi/ 2 +2pi n

We have period of the function is pi


2pi/ k
k=2
So it will equal Pi


Do you have any doubts ?