nicekikah

2021-08-13

Find an equation of the conic described.Graph the equation.

Ellipse; center at (0,0); focus at (0,3); vertex at (0, 5)

Ellipse; center at (0,0); focus at (0,3); vertex at (0, 5)

Derrick

Skilled2021-08-14Added 94 answers

The solution is written below

Vasquez

Expert2021-12-28Added 669 answers

Step 1

Consider the given information about conic Ellipse.

Center: (0,0)

Focus: (0,3)

Vertex: (0,5)

The major axis for the ellipse is y and minor axis is x that is, a>b

So, the equation of the ellipse is,

Where, (h,k) is the center of the ellipse

Compare the coordinate of vertex with

a=5

Compare the coordinate of focus with

c=3

Substitute c=3 and a=5 into

b=4

Step 2

Substitute the value center, a and b into equation of ellipse

therefore, the equation of the ellipse is

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