SOLUTION: i need help figuring this one out.. thanks Write an equation of an ellipse with the given characteristics. center(-1,5), vertex (3,5), co-vertex(-1,7) thank you!

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: i need help figuring this one out.. thanks Write an equation of an ellipse with the given characteristics. center(-1,5), vertex (3,5), co-vertex(-1,7) thank you!      Log On


   

Question 139350: i need help figuring this one out.. thanks
Write an equation of an ellipse with the given characteristics.
center(-1,5), vertex (3,5), co-vertex(-1,7)
thank you!
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the center is the midpoint between the vetices and also the co-vertices
__ this means that the length of the major axis is twice the distance from the center to a vertex
__ and the length of the minor axis is twice the distance from the center to a co-vertex

[(x+1)^2/8^2]+[(y-5)^2/4^2]=1 __ multiplying by 64 __ (x+1)^2+4(y-5)^2=64