SOLUTION: An ellipse has a vertex at (4, 0), a co-vertex at (0, 2), and a center at the origin. Which is the equation of the ellipse in standard form?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: An ellipse has a vertex at (4, 0), a co-vertex at (0, 2), and a center at the origin. Which is the equation of the ellipse in standard form?      Log On


   



Question 1039666: An ellipse has a vertex at (4, 0), a co-vertex at (0, 2), and a center at the origin. Which is the equation of the ellipse in standard form?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!


The equation is

%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1

Where (h,k) = center = the origin = (0,0)

where "a" = the number of units from the 
center (0,0) to a vertex (4,0)

and

where "b" = the number of units from the 
center (0,0) to a covertex (0,2)

Edwin