Determine the amplitude, period and displacement for the given function, and sketch the graph of the function. Use the table to determine the value for 'y' and plot the graph. y = 3.5 sin(2x + ) 6 0° 30° 45° 60° 90° 120° 135° 150° 180° y 210° 225° 240° 270° 300° 315° 330° 360° y Amplitude = 3.5, Period = TT, Displacement = -T/12 Amplitude = 3.5, Period = -2m, Displacement = -T/4 Amplitude = 3.5, Period = 2T, Displacement = -T/6 %3D Amplitude = 3.5, Period = -T, Displacement = +TT/12 %3D

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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Determine the amplitude, period and displacement for the given function, and sketch the graph of the function.
Use the table to determine the value for 'y' and plot the graph.
y = 3.5 sin 2x +
6
0°
30°
45°
60°
90°
120°
135°
150°
180°
y
210°
225°
240°
270°
300°
315°
330°
360°
y
Amplitude = 3.5, Period = TT, Displacement = -TT/12
Amplitude = 3.5, Period = -2T, Displacement = -TT/4
%3D
%3D
Amplitude = 3.5, Period = 2T, Displacement = -T/6
%3D
%3D
O Amplitude = 3.5, Period = -TT, Displacement = +TT/12
Transcribed Image Text:Determine the amplitude, period and displacement for the given function, and sketch the graph of the function. Use the table to determine the value for 'y' and plot the graph. y = 3.5 sin 2x + 6 0° 30° 45° 60° 90° 120° 135° 150° 180° y 210° 225° 240° 270° 300° 315° 330° 360° y Amplitude = 3.5, Period = TT, Displacement = -TT/12 Amplitude = 3.5, Period = -2T, Displacement = -TT/4 %3D %3D Amplitude = 3.5, Period = 2T, Displacement = -T/6 %3D %3D O Amplitude = 3.5, Period = -TT, Displacement = +TT/12
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