Problem preview

F-TF.5 Warmup M3-036-A06-V03

Choose trig functions to model periodic phenomena using amplitude, frequency, and midline.

Write a cosine model from amplitude or extreme values, period, midline, and the x-value of a maximum or minimum

Problem

Write a cosine model with maximum \(10\), minimum \(2\), period \(6\), and a maximum at \(x~=~4\). Use the diagram to check the derived amplitude, midline, phase shift, and period.

Answer choices

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y=10cos((pi/3)(x-4))+6

y=4cos((pi/6)(x-4))+6

y=-4cos((pi/3)(x-4))+6

y=4cos((pi/3)(x-4))+6

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Curriculum context

Course: Math III
Standard: F-TF.5
Category: Functions
Domain: Trigonometric Functions
Objective: Choose trig functions to model periodic phenomena using amplitude, frequency, and midline.
Problem type: Write a cosine model from amplitude or extreme values, period, midline, and the x-value of a maximum or minimum