SOLUTION: 25(x-1)^2 + 9(y+3)^2=225 identify the curve? put in standard form then identify the curve, i don't understand what it means to identify the curve.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: 25(x-1)^2 + 9(y+3)^2=225 identify the curve? put in standard form then identify the curve, i don't understand what it means to identify the curve.      Log On


   

Question 687025: 25(x-1)^2 + 9(y+3)^2=225 identify the curve?
put in standard form then identify the curve, i don't understand what it means to identify the curve.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
25(x-1)^2 + 9(y+3)^2=225 identify the curve?
put in standard form then identify the curve.
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standard form for an ellipse with vertical major axis:
%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1, a>b, (h,k)=(x,y) coordinates of center
25%28x-1%29%5E2%2B9%28y%2B3%29%5E2=225
divide both sides by 225
%28x-1%29%5E2%2F9+%2B+%28y%2B3%29%5E2%2F25=1
Given equation is that an ellipse with vertical major axis and center at (1,-3)