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Chapter 10: Q. 40 (page 654)

Write an equation for each ellipse.

Short Answer

Expert verified

The equation of ellipse is(x+1)21+(y+1)24=1

Step by step solution

01

Step 1. Given Information  

The given graph is

02

Step 2. Calculation 

The center of ellipse is at (h,k)=(-1,-1). The vertices are (-1,-3)and(-1,1).

Since, center and vertices all lie on the line localid="1647279150510" x=-1, the major axis is parallel to y-axis. The distance of center from each of the vertices is a=2.

The distance of center from x-intercept is b=1.

Substitute the values in the general form of equation.

(x-h)2b2+y-k2a2=1(x+1)21+(y+1)24=1

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