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Chapter 11: Q. 303 (page 1158)

In the following exercises, graph.

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

Short Answer

Expert verified

The graph of hyperbola is

Step by step solution

01

Step 1. Given Information

The given equation is(y+2)29-(x+1)29=1

02

Step 2. Explanation 

As y2term is positive, the transverse axis is vertical. On comparing with the standard form, we get, (h,k)=(-1,-2).

Thus,

a2=9a=9a=3Andb2=9b=9b=3

Thus, center is (-1,-2)and a=3,b=3

03

Step 3. Calculation and Graph 

We will find the equation of asymptote as follows,

y=ab(x-h)+ky=33(x+1)-2y=x+1-2y=x-1Andy=-ab(x-h)+ky=-33(x+1)-2y=-x-1-2y=-x-3

Sketch the asymptote through the diagonal and the vertices on the graph.

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