Math Problem Statement

Below is the graph of a trigonometric function. It has a minimum point at (-10.4,-9.8) and a maximum point at (-3.6,-1.2)

Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Sinusoidal Functions
Amplitude
Period
Vertical Shift
Phase Shift

Formulas

Amplitude = \frac{|Max - Min|}{2}
Vertical Shift = \frac{Max + Min}{2}
Period = 2 \times |x_{Max} - x_{Min}|
Sinusoidal equation: y = A \cos(Bx - C) + D

Theorems

Properties of Sinusoidal Functions
Cosine Function

Suitable Grade Level

Grades 10-12