Question

A sinusoidal function whose frequency is 3, maximum value is 15, minimum value is -3 has a y-intercept of 6.

Answer 1

Answer:

A. f(x) = 9sin(x/3) + 6

Step-by-step explanation:

Hope this will help

Answer 2

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