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In Problems11-18, find an equation of the conic described. Graph the equation by hand.

Center at(-1,2);a=3;c=4; transverse axis parallel to thex-axis.

Short Answer

Expert verified

The equation of the hyperbola is(x+1)29-(y-2)27=1

Step by step solution

01

Step 1. Given Information

Centr at(-1,2);a=3&c=4, transverse axis parallel tox-axis.

02

Step 2. Calculation 

Since, a=3&c=4

Then c2-a2=16-9

=7

and the transverse axis is parallel to x-axis

then equation is

(x+1)29-(y-2)27=1

03

Step 3. Graph

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