Find the amplitude, the period, any vertical translation, and any phase shift of the graph of the following function. y= 8- cos 4x + 3 What is the amplitude of the function? (Type an integer or a simplified fraction.)

Find the amplitude, the period, any vertical translation, and any phase shift of the graph of the following function. y= 8- cos 4x + 3 What is the amplitude of the function? (Type an integer or a simplified fraction.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.5: Trigonometric Graphs

Problem 6E

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Question

Determine the (1) amplitude, (2) period, (3) any vertical translation, and (4) any phase shift of the graph of the following function.

Find the amplitude, the period, any vertical translation, and any phase shift of the graph of the following function.
y= 8- cos 4x +
3
What is the amplitude of the function?
(Type an integer or a simplified fraction.)

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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