Writing an Equation In Exercises 75–78,write an equation for a function with thegiven characteristics.75. A sine curve with a period of π, an amplitude of 2, aright phase shift of π2, and a vertical translation up1 unit76. A sine curve with a period of 4π, an amplitude of 3, aleft phase shift of π4, and a vertical translation down1 unit77. A cosine curve with a period of π, an amplitude of 1,a left phase shift of π, and a vertical translation down32 units78. A cosine curve with a period of 4π, an amplitude of 3,a right phase shift of π2, and a vertical translation up2 units

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.5: Graphs Of Sine And Cosine Functions
Problem 77E
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Writing an Equation In Exercises 75–78,
write an equation for a function with the
given characteristics.
75. A sine curve with a period of π, an amplitude of 2, a
right phase shift of π2, and a vertical translation up
1 unit
76. A sine curve with a period of 4π, an amplitude of 3, a
left phase shift of π4, and a vertical translation down
1 unit
77. A cosine curve with a period of π, an amplitude of 1,
a left phase shift of π, and a vertical translation down
3
2 units
78. A cosine curve with a period of 4π, an amplitude of 3,
a right phase shift of π2, and a vertical translation up
2 units

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