The graph of one complete period of a cosine curve is given. 6. (a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.) amplitude 1/2 2n period 3. horizontal shift (b) Write an equation that represents the curve in the form y = a cos(k(x - b)). 112

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 10E
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The graph of one complete period of a cosine curve is given.
2.
(a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.)
amplitude
1/2
2n
3
period
horizontal shift
(b) Write an equation that represents the curve in the form
y = a cos(k(x – b)).
112
Transcribed Image Text:The graph of one complete period of a cosine curve is given. 2. (a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.) amplitude 1/2 2n 3 period horizontal shift (b) Write an equation that represents the curve in the form y = a cos(k(x – b)). 112
Expert Solution
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the cosine function is in the form of

y=a\cos \left(k\left(x-b\right)\right)

here amplitude is 1/2 so take 

a=\frac{1}{2}

y=\frac{1}{2}\cos \left(k\left(x-b\right)\right).............(1)

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