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Chapter 11: Q. 3 (page 772)

Graph the equation:y2=x2-1

Short Answer

Expert verified

The graph of y2=x2-1is

Step by step solution

01

Step 1. Give data 

The given equation is

y2=x2-1

02

Step 2. Properties of equation  

Rearrange the equation into the standard form of the equation of the hyperbola

y2=x2-1x212-y212=1x2a2-y2b2=1

so a=1b=1c=a2+b2c=2

vertices are localid="1646864511684" (卤a,0)=(卤1,0)

foci are (0,卤c)=(0,卤2)

03

Step 3. Graph

Plot a hyperbola of the vertices(卤1,0)and foci (0,卤2)to plot the graph of y2=x2-1

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