Question

Write an equation for a function with the given characteristics.

A sine curve with a period of 8pi,an amplitude of 5, a left phase shift of /3, and a vertical translation down 2 units.

Answer 1

Explanation:

A sine curve with a period of 8pi,an amplitude of 5, a left phase shift of π/3, and a vertical translation down 2 units.

Start with sin x

amplitude 5

5 sinx

shifted pi/3 L

5 sin (x + pi/3)

period 8pi

5 sin (1/4 (x + pi/3))

shifted down 2 units:

5 sin ( x/4 + pi/12) - 2