Question

Complete the general form of the equation of a sinusoidal function having an amplitude of 4, a period of π , and a phase shift to the right 2 units.

Answer 1

4 sin (2x - 4).

Explanation:

The amplitude of sin x = 1 so our curve with amplitude 4 will have 4 sin x as part of the general form. To alter the period from 2pi to pi we multiply the x by 2, giving 4 sin 2x, Finally to get a phase shift of 2 to the right, we replace the x by x - 2.

Our formula is 4 sin (2(x - 2))

= 4 sin (2x - 4).