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Chapter 11: Q. 115 (page 1119)

In the following exercises, graph each ellipse.

x+124+y+6225=1

Short Answer

Expert verified

The graph of the ellipse is

Step by step solution

01

Step 1.Given information

The equation of the ellipse isx+124+y+6225=1

02

Step 2.Concept used

The standard form of the ellipse with center not at the origin is

x-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+124+y+6225=1

Centerh,k=-1,-6

25>4鈬�majoraxisisverticala2=4鈬�a=卤2Thedistancefromcentertoendpointsofminoraxisis2b2=25鈬�b=卤5Thedistancefromcentertoendpointsofmajoraxisis5

04

Step 4. Sketch the ellipse

The graph of the ellipse is

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