The graph of one complete period of a sine curve is given. y 8 4 (a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.) amplitude 8 period 1 1 horizontal shift 4 (b) Write an equation that represents the curve in the form y = a sin(k(x - b)). y = 1 sin()

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 9E
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The graph of one complete period of a cosine curve is given.

(a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.)

(b) Write an equation that represents the curve in the form

y = a cos(k(x − b)).
The graph of one complete period of a sine curve is given.
y
8
(a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.)
amplitude
8
period
1
1
horizontal shift
4
(b) Write an equation that represents the curve in the form
y = a sin(k(x - b)).
y = 1 sin()
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Transcribed Image Text:The graph of one complete period of a sine curve is given. y 8 (a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.) amplitude 8 period 1 1 horizontal shift 4 (b) Write an equation that represents the curve in the form y = a sin(k(x - b)). y = 1 sin() Need Help? Read It
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