Q:

Need Help quick!a. Find the amplitude.b. Find the period.c. Find the vertical shift.d. Find the horizontal shift.e. Find the number of cycles between 0 and 2π.f. Find the equation of the graph.You must show all of your work to receive credit.Check the file for the graph

Accepted Solution

A:
The curve is shown below.
a. Amplitude
The amplitude is (1/2)(4) = 2

b. Period
The period is (π + π/8) - π/8 = π

c. Vertical shift
The vertical shift is -2

d. Horizontal shift
The horizontal shift is π/8

e. Cycles between 0 and 2π
There are 2 cycles between 0  and 2π.

f. Equation of the graph
[tex]y = -2sin(2x+ \frac{ \pi }{8})-2 [/tex]