Chapter 6: Q. 38 (page 435)

In Problems 35-38, find the amplitude, period, and phase shift of each function. Graph each function. Show at least two periods.
$y = - \frac{2}{3} \cos (π x - 6)$

Short Answer

Expert verified

The amplitude, time period , phase shift is $\frac{2}{3}, 2, \frac{6}{π}$ respectively and the graph is

Step by step solution

Given information

Given function $y = - \frac{2}{3} \cos (π x - 6)$

Comparing with y=Acos(bx-∅)+Band calculating

Comparing, we get

$A = \frac{2}{3} T = \frac{2 π}{π} T = 2 \frac{\emptyset}{ω} = \frac{6}{π}$

Sketching the graph

Sketching, we get

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In Problems 35-38, find the amplitude, period, and phase shift of each function. Graph each function. Show at least two periods.
$y = - \frac{2}{3} \cos (π x - 6)$

Short Answer

Step by step solution

Given information

Comparing with y=Acos(bx-∅)+Band calculating

Sketching the graph

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In Problems 35-38, find the amplitude, period, and phase shift of each function. Graph each function. Show at least two periods.y=-23cos(πx-6)

Short Answer

Step by step solution

Given information

Comparing with y=Acos(bx-∅)+Band calculating

Sketching the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Applied Mathematics

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Study anywhere. Anytime. Across all devices.

In Problems 35-38, find the amplitude, period, and phase shift of each function. Graph each function. Show at least two periods.
$y = - \frac{2}{3} \cos (π x - 6)$