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Chapter 8: Q. 5 (page 556)

Graph the function y=-2cos2π-x.

Short Answer

Expert verified

The graph is

Step by step solution

01

Step 1. Given Information

The given function isy=-2cos2π-x.

02

Step 2. Plot the graph of cos function 

  • Plot the graph of y=cosx.

03

Step 2. Scale the Graph

  • Reverse the obtained graph upside down to obtain the graph of y=-cosx.
  • Then scale the graph by the scaling factor of 2.

  • The dotted line represents y=cos(x)and the solid line represents y=-2cosx.
  • The period of cosxis 2π, so, the period of -2cos2π-xwill also be 2π.
  • So, the solid line is the required graph.

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Most popular questions from this chapter

Rescue at Sea Coast Guard Station Able is located 150 miles due south of Station Baker. A ship at sea sends an SOS call that is received by each station. The call to Station Able indicates that the ship is located N55°E; the call to Station Baker indicates that the ship is located S60°E.

(a) How far is each station from the ship?

(b) If a helicopter capable of flying 200 miles per hour is dispatched from the station nearest the ship, how long will it take to reach the ship?

A special case of the Law of Cosines is the Pythagorean theorem.

The amplitude A and period T off(x)=5sin(4x) are ____ and ____ .

an object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up:

a=6,T=πseconds

Find the area of the triangle. Round answer to two decimal places.

B=70°,C=10°,b=5
See all solutions

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