# How do you write an equation of an ellipse in standard form given focus at (0,0) and vertices at (2, pi/2) and (8, 3pi/2)?

##### 1 Answer

Feb 18, 2016

#### Explanation:

The center of the ellipse can be solved by obtaining the average value of the vertices at

Center

there is a focus at (0, 0), vertex at (0, 2) and center at (0, -3) so that

solve

and

the equation of the ellipse with vertical major axis is:

see the graph

graph{x^2/16+(y+3)^2/25=1[-20, 20,-10,10]}

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