SOLUTION: Write the equation of the ELLIPSE that satisfies the given conditions Center at (0,0) one vertex (0, - 6) end of the minor axis (4,0)

Algebra ->  Finance -> SOLUTION: Write the equation of the ELLIPSE that satisfies the given conditions Center at (0,0) one vertex (0, - 6) end of the minor axis (4,0)       Log On


   



Question 1190959: Write the equation of the ELLIPSE that satisfies the given conditions
Center at (0,0) one vertex (0, - 6) end of the minor axis (4,0)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given:
Center at (0,0) ->h=0 and k=0
Vertex (0,-6) => the other vertex must be at (0,6) ->shows common x coordinate 0. So y axis is major axis and x axis is minor axis, therefore b greater than a
2b is the distance between vertices and centre=>2b=12->b=6
end of the minor axis (4,0) -> a=4
Standard equation for this ellipse is
%28x+-+h%29%5E2%2Fa%5E2+%2B+%28y+-+k%29%5E2+%2Fb%5E2=+1
your equation is:
%28x+-+0%29%5E2%2F4%5E2+%2B+%28y+-+0%29%5E2+%2F6%5E2=+1
x+%5E2%2F16+%2B+y+%5E2+%2F36=+1