Determine the amplitude, period, and phase shift for the given function. y = 1 cos 2x - cos(2x - 3) amplitude period phase shift Graph the function over one period. y y 3.0 1.0 2.5 0.5 2.0 1.5 X 27 7π 1.0 6 3 6 -0.5 0.5 27 0-1.0 7 T 6 3 na n AN y 2.0 y 7x 1.5 6 3 6 -0.5 1.0 -1.0 0.5 -1.5 X 2л 0-2.0 6 3 6 Indicate the x-intercepts of the graph. (x, y) = (smaller x-value) (x, y) = (larger x-value) Indicate the coordinates of the highest point on the graph. (x, y) = ( Indicate the coordinates of the lowest points on the graph. (x, y): = (smaller x-value) (x, y) = (larger x-value) (

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 48E
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Question
Determine the amplitude, period, and phase shift for the given function.
y = 1 cos 2x -
- 5)
3
amplitude
period
phase shift
Graph the function over one period.
y
3.0
y
1.0
2.5
0.5
2.0
1.5
X
7%
1.0
2 л
3
6
-0.5
0.5
o-1.0f
20
2A
7 T
ए
AN
3
6
y
y
2.0
2A
7%
1.5
6
3
6
-0.5
1.0
-1.0
0.5
-1.5
27
7 A
○-2.아
6
3
Indicate the x-intercepts of the graph.
(x, y) =
(smaller x-value)
(x, y) =
(larger x-value)
Indicate the coordinates of the highest point on the graph.
(x, y) =
Indicate the coordinates of the lowest points on the graph.
(x, y) =
) (smaller x-value)
(x, y) =
(larger x-value)
π
6
Transcribed Image Text:Determine the amplitude, period, and phase shift for the given function. y = 1 cos 2x - - 5) 3 amplitude period phase shift Graph the function over one period. y 3.0 y 1.0 2.5 0.5 2.0 1.5 X 7% 1.0 2 л 3 6 -0.5 0.5 o-1.0f 20 2A 7 T ए AN 3 6 y y 2.0 2A 7% 1.5 6 3 6 -0.5 1.0 -1.0 0.5 -1.5 27 7 A ○-2.아 6 3 Indicate the x-intercepts of the graph. (x, y) = (smaller x-value) (x, y) = (larger x-value) Indicate the coordinates of the highest point on the graph. (x, y) = Indicate the coordinates of the lowest points on the graph. (x, y) = ) (smaller x-value) (x, y) = (larger x-value) π 6
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