show step by step answer :

Question

write a function of sine with an amplitude of 7 and a period of 4:

Answer 1

The general form is:

f(x) = A·sin(B(x-C)) + D

1. A = amplitude (= 7 in your case)
2. B = 2π/period (period = 4 in your case. Solve for B)
3. C = phase (horizontal) shift (none in your case, so C = 0)
4. D = vertical shift (none in your case, so D = 0)

Plug the values into the general form to get the answer.