Question

Did I get this one right

Answer 1

Your answer of option b is right.

Explanation:

Given that a sinesoidal function has maximum 12 and minimum -6

Hence centre line would be average of these two.

Centre line is
`y=(12-6)/(2) =3`

i.e. f(x) = a sin (bx+c)+3

Since amplitude = 12-3 =9 we have a = 9

i.e. f(x) = 9 sin (bx+c)+3

Frequency is given as 3, period = 1/3

This gives b = 6pi

f(0) = y intercept =

9sin(c)+3 =3

This gives c=0

Hence correct equation is

`y =9sin 6 \pi x+3`