   # Graph 9 x 2 − 18 x + y 2 − 2 y − 26 = 0 . ### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728

#### Solutions

Chapter
Section ### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728
Chapter 8.S, Problem 6S
Textbook Problem
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## Graph 9 x 2 − 18 x + y 2 − 2 y − 26 = 0 .

To determine

To plot:

The graph of the equation 9x218x+y22y26=0.

### Explanation of Solution

Approach:

A standard form of equation for ellipse is A(xh)2+B(yk)2=C, where, (h,k) is the center of the ellipse.

Rewrite the given equation in the form of ellipse equation.

9x218x+y22y26=09(x22x+1)+(y22y+1)9126=09(x1)2+(y1)236=09(x1)2+(y1)2=36

The center of the given ellipse is (1,1)

To find the endpoints on the major axis, substitute 1 for x in the ellipse equation and to find the endpoints on the minor axis, substitute 1 for y in the ellipse equation.

Calculation:

Substitute 1 for x in the given equation.

9((1)1)2+(y1)2=369(0)+(y1)2=36(y1)2=36y1=±6y=±6+1

Further, solve the above equation

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