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Chapter 7: Q. 6 (page 505)

Use transformations to graph the equationy=cosx-蟺2-1.

Short Answer

Expert verified

The graph is

Step by step solution

01

Step 1. Given Information 

We are given the equation y=cosx-蟺2-1and we need to use transformations to graph it.

02

Step 2. Using transformations 

From the concept of the vertical and horizontal shift we know, the graph of g(x)=f(x+c)+kwill be the graph of f(x)shifted left or right by cunits depending upon the sign and up or down by kunits depending upon the sign.

The equation can be written as:

y=cosx-蟺2-1鈬�y+1=cosx-蟺2

Let X鈮�x-蟺2Y鈮�y+1

The lines pass through X=0,Y=0.

鈭�x-蟺2=0鈬�x=蟺2y+1=0鈬�y=-1

03

Step 3. Plotting the graph 

The graph of the equation is

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