Pre-Calc Exam Notes 117

Pre-Calc Exam Notes 117 - y = 2 sin ( 3 x + 2 ) . Solution:...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Properties of Graphs of Trigonometric Functions Section 5.2 117 The phase shift is deFned similarly for the other trigonometric functions. Example 5.11 ±ind the amplitude, period, and phase shift of y = 3 cos (2 x π ). Solution: The amplitude is 3, the period is 2 π 2 = π , and the phase shift is π 2 . The graph is shown in ±igure 5.2.12: x y 0 3 2 1 1 2 3 π 2 π 3 π 2 2 π period = π phase shift = π 2 amplitude = 3 Figure 5.2.12 y = 3 cos (2 x π ) Notice that the graph is the same as the graph of y = 3 cos 2 x shifted to the right by π 2 , the amount of the phase shift. Example 5.12 ±ind the amplitude, period, and phase shift of
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: y = 2 sin ( 3 x + 2 ) . Solution: The amplitude is 2, the period is 2 3 , and the phase shift is 2 3 = 6 . Notice the negative sign in the phase shift, since 3 x + = 3 x ( ) is in the form x . The graph is shown in igure 5.2.13: x y 2 1 1 2 6 6 3 2 2 3 5 6 7 6 4 3 period = 2 3 phase shift = 6 amplitude = 2 Figure 5.2.13 y = 2 sin ( 3 x + 2 )...
View Full Document

This note was uploaded on 01/21/2012 for the course MAC 1130 taught by Professor Dr.cheun during the Fall '11 term at FSU.

Ask a homework question - tutors are online