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Find d,e,f using the information I already have:

a. Amplitude: 2
b. Period: pi
c. Vertical shift: -2

Find d,e,f using the information I already have: a. Amplitude: 2 b. Period: pi c. Vertical-example-1
User MAZux
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1 Answer

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The amplitude is -2

The period is 2

The vertical shift is -2

The horizontal shift is 0.2

Number of cycles between 0 and 2π

The equation of the graph y = -2 cos (π(x - 0.2) - 2

How to write the equation

Amplitude

= (max + min) / 2

= (0 - 4) / 2

= -2

Period is number of oscillations in interval 2π. From the graph, period = 2

B = 2π / period = 2π / 2 = π

C Horizontal shift form the original graph. this is approximately 0.2

D this is vertical shift> From the graph the value is -2

The general form of the equation

y = A cos (B(x - C) + D

substituting

y = -2 cos (π(x - 0.2) - 2

User Aarmora
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