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Chapter 11: Q. 117 (page 1119)

In the following exercises, graph each ellipse.

x+424+y-229=1

Short Answer

Expert verified

The graph of the ellipse is

Step by step solution

01

Step 1. Given information

The given equation isx+424+y-229=1

02

Step 2. Concept used

The standard form of the ellipse with center not at the origin isx-h2a2+y-k2b2=1Center(h,k),a>b鈬�majoraxisishorizantal,sothedistancefromthecentertothevertexisa.b>a鈬�majoraxisisvertical,sothedistancefromthecentertothevertexisb.

03

Step 3.Find the center  and major axis

The equation of the ellipse isx+424+y-229=1

Centerh,k=-4,2

role="math" localid="1645608380300" 9>4鈬�majoraxisisverticala2=4鈬�a=卤2Thedistancefromcentertoendpointsofminoraxisis2b2=9鈬�b=卤3Thedistancefromcentertoendpointsofmajoraxisis3
04

Step 4.Sketch the ellipse

The graph of the ellipse is

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