SOLUTION: An ellipse has a center at (-4,6) and passes through (-4,9) and (2,6). Find the equation of the ellipse, the coordinates of the vertices and the foci. Please help!!

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: An ellipse has a center at (-4,6) and passes through (-4,9) and (2,6). Find the equation of the ellipse, the coordinates of the vertices and the foci. Please help!!       Log On


   

Question 856586: An ellipse has a center at (-4,6) and passes through (-4,9) and (2,6). Find the equation of the ellipse, the coordinates of the vertices and the foci. Please help!!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Sketch IT  C(-4,6)



%28x%2B4%29%5E2%2F6%5E2+%2B+%28y-6%29%5E2%2F3%5E2+=+1

 Standard Form of an Equation of an Ellipse is %28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+ 

where Pt(h,k) is the center. (a variable positioned to correspond with major axis)

 a and b  are the respective vertices distances from center