Answer:
A. f(x) = 9sin(x/3) + 6
Step-by-step explanation:
First, we can eliminate B and C because they have the wrong vertical shift.
Since the y intercept is 6, this means the function has a vertical shift up 6 units, represented by a +6 at the end of the equation.
The amplitude is 9, found by calculating the difference between the minimum and maximum values, and dividing it by 2.
(15 - (-3)) / 2
18 / 2
= 9
Using a calculator, find the period given the frequency.
The period (coefficient of x) is 1/3.
So, putting all of these constants together, the correct equation is:
A. f(x) = 9sin(x/3) + 6
