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Phase Shift of the Function - Precalculus | MA 180, Assignments of Pre-Calculus

Material Type: Assignment; Class: PRECALCULUS; Subject: Mathematics; University: Montgomery College; Term: Summer 2 2007;

Typology: Assignments

Pre 2010

Uploaded on 09/17/2009

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Math 180 - Section 5.6
Name___________________________________
Find the phase shift of the function.
1)
y = 3 sin (x - p
2)
2)
y = -2 sin (4x - p
2)
3)
y = 4 cos (
1
4x + p
4)
Find the amplitude, period, and phase shift of the sinusoidal funtion.
4)
y = -
3
4 sin (
1
4x + p
2)
Graph the function. Show at least one period.
5)
y = 2cos(3x + p
2)
Graph the sinusoidal function over one complete period.
6)
y = 3 sin (
1
2x + p
4)
7)
Amplitude:
4
Period: 6p
Phase Shift: p
6
8)
Amplitude:
4
Period: p
Phase Shift: - 2
1
pf2

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Math 180 - Section 5.6 Name___________________________________

Find the phase shift of the function.

  1. y = 3 sin (x - p 2
  1. y = -2 sin (4x - p 2
  1. y = 4 cos (^1 4

x + p 4

Find the amplitude, period, and phase shift of the sinusoidal funtion.

  1. y = -^3 4

sin (^1 4

x + p 2

Graph the function. Show at least one period.

  1. y = 2cos(3x + p 2

Graph the sinusoidal function over one complete period.

  1. y = 3 sin (^12 x + p 4 )

Write the equation of a sine function with the given characteristics.

  1. Amplitude: 4 Period: 6p Phase Shift: p 6

  2. Amplitude: 4 Period: p Phase Shift: - 2

Answer Key

Testname: SECTION5-6.TST

  1. p/ 2 units to the right
  2. p/ 8 units to the right
  3. p units to the left
  4. amplitude =^3 4

; period = 8p; phase shift = - 2p

-∏ ∏ 2∏ 3∏^ x

y 6 4 2

-∏ ∏ 2∏ 3∏ x

y 6 4 2

∏ 2∏ 3∏^ x

y 5 4 3 2 1

∏ 2∏ 3∏ x

y 5 4 3 2 1

  1. y = 4 sin 1 3

x - 1 18

p

  1. y = 4 sin (2x + 4 )