Question

Write the equation of the sine function with amplitude of 8.5, standard period, phase shift of 90°, and a vertical shift of 12.

Answer 1

- you multiply by the amplitude
- you subtract the phase shift from the sine argument
- you add the vertical shift

So, the regular y=sin(x) becomes:

y = 8.5sin(x-π/2)+12

90° angle is π/2 because a full circle of 360° maps to 2π.