Math Problem Statement

What is the amplitude of this trigonometric function? What is the period of this trigonometric function? Write an expression defining y as a function of x which best describes this graph. 𝑦=

Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Amplitude
Period
Phase Shift
Vertical Shift

Formulas

Amplitude = |a|
Period = 2Ď€/|b|
y = a sin(bx + c) + d (general form for sine or cosine functions)

Theorems

Trigonometric function properties

Suitable Grade Level

Grades 10-12