SOLUTION: Use the information provided to write the standard form equation [(x^2/b^2)+ (y^2/a^2)=1] of the ellipse: vertices: (7,-4), (-13,-4) co-vertices: (-3,4), (-3,-12)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Use the information provided to write the standard form equation [(x^2/b^2)+ (y^2/a^2)=1] of the ellipse: vertices: (7,-4), (-13,-4) co-vertices: (-3,4), (-3,-12)       Log On


   



Question 753072: Use the information provided to write the standard form equation [(x^2/b^2)+ (y^2/a^2)=1] of the ellipse:
vertices: (7,-4), (-13,-4)
co-vertices: (-3,4), (-3,-12)

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
vertices: (7,-4), (-13,-4)
The middle point is at ((7-13)/2, -4)=(-3,-4)

co-vertices: (-3,4), (-3,-12)
The middle point is at (-3, (4-12)/2)=(-3,-4)

The model standard form you stated is incomplete and should be instead,
%28x-h%29%5E2%2Fb%5E2%2B+%28y-k%29%5E2%2Fa%5E2=1 and know that the center is (h,k).

You main vertex point show a length for 2a=20, so a=10.
Your "covertex" points show a length of 2b=16, so b=8.

Put in the pieces but watch the signs for center...
%28x%2B3%29%5E2%2F8%5E2%2B+%28y%2B4%29%5E2%2F10%5E2=1