# How do you find the standard form of the equation of the ellipse given the properties foci #(0,+-5)#, vertices #(0, +-8)#?

##### 2 Answers

The equation of the ellipse is

#### Explanation:

The equation of an ellipse with major vertical axis is

The center( symmetric wrt the foci and the vertices) of the ellipse is

Therefore,

The equation of the ellipse is

graph{(y^2/64+x^2/39-1)=0 [-17.3, 18.75, -8.67, 9.35]}

**The standard equation of vertical ellipse is**

#### Explanation:

The vertices and foci are on the y axis at

Semi major axis is

of vertical ellipse is

graph{x^2/39+y^2/64=1 [-20, 20, -10, 10]} [Ans]