Question

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.

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Check the file for the graph

Answer 1

Amplitude is defined as height of the graph

So amplitude =4

Time period is the distance between crust and trough of the graph

Hence time period=2*pi

Answer 2

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

`y = -2sin(2x+ ( \pi )/(8))-2`