SOLUTION: Write the ellipse in standard form then find the coordinates of the center and foci, and the lengths of the major and minor axis, and graph. 4(y-2)^2+9x^2=36

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write the ellipse in standard form then find the coordinates of the center and foci, and the lengths of the major and minor axis, and graph. 4(y-2)^2+9x^2=36      Log On


   

Question 612504: Write the ellipse in standard form then find the coordinates of the center and foci, and the lengths of the major and minor axis, and graph. 4(y-2)^2+9x^2=36
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, 

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

where Pt(h,k) is the center and a and b  are the respective vertices distances from center, with a>b

ellipse: x%5E2%2F2%5E2%2B%28y-2%29%5E2%2F3%5E3=1

C(0,2),  sqrt%289-4%29+=+sqrt%285%29 foci: (0, 2+sqrt%285%29)& (0,2-sqrt%285%29)

Major axis has length of 6 and minor axis a length of 4