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Chapter 10: Q 16. (page 699)

In Problems 11鈥�18, find an equation of the conic described. Graph the equation by hand.

Ellipse; foci at (-4,2)and (-4,8); vertex at(-4,10)

Short Answer

Expert verified

(x+4)216+(y-5)225=1

Step by step solution

01

Step 1. Given Information 

Foci at (-4,2),(-4,8)

Vertex at(-4,10)

02

Step 2. Calculation 

Since (h,k+c)=(-4,2)(h,k-c)=(-4,8)(h,k+c)=(-4,2)(h,k-c)=(-4,8)

and (h,k+a)=(-4,10)

Then we get h=-4,k=5,c=-3&a=5

Then b2=a2-c2=25-9=16

Then the equation of the ellipse is

(x+4)216+(y-5)225=1

03

Step 3. Graph

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Most popular questions from this chapter

In Problem, identify the graph of each equation without completing the squares.

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