A trigonometric function is given. y = 2 (a) Find the amplitude, period, phase, and horizontal shift of the function. amplitude period phase horizontal shift (b) Sketch the graph of one complete period. y 3. 3 2 2 11 1 4 8 -1 6. -1 -2 -2 O-3- O-3F y 3 21 2 1. 1 -1 4 6. -1 -2 -2 O-3 O-3)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 29E
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Question
8
A trigonometric function is given.
y = 2 sin
(a) Find the amplitude, period, phase, and horizontal shift of the function.
amplitude
period
phase
horizontal shift
(b) Sketch the graph of one complete period.
y
y
3
2
8.
2.
-1
6.
-1F
-2
-2
O-3-
O-3
y
3
3
2
1.
1
2.
8.
-1
4
-1
-2
-2
O-3
O-3F
Transcribed Image Text:A trigonometric function is given. y = 2 sin (a) Find the amplitude, period, phase, and horizontal shift of the function. amplitude period phase horizontal shift (b) Sketch the graph of one complete period. y y 3 2 8. 2. -1 6. -1F -2 -2 O-3- O-3 y 3 3 2 1. 1 2. 8. -1 4 -1 -2 -2 O-3 O-3F
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