SOLUTION: 2x2+3y2-4y=0 is the equation of ellipes?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: 2x2+3y2-4y=0 is the equation of ellipes?      Log On


   



Question 916529: 2x2+3y2-4y=0 is the equation of ellipes?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
2x%5E2+%2B+3%28y-4%2F6%29%5E2+=+16%2F12+=+4%2F3+ completing the Square and dividing thru by 4/3
x%5E2%2F%282%2F3%29+%2B+%28y-4%2F6%29%5E2%2F%284%2F9%29+=+1+
...
Standard Form of an Equation of a Circle is %28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2
Standard Form of an Equation of an Ellipse is %28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+ ****
Standard Form of an Equation of an Hyperbola opening up and down is:%28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1
Standard Form of an Equation of an Hyperbola opening right and left is:%28x-h%29%5E2%2Fa%5E2+-+%28y-k%29%5E2%2Fb%5E2+=+1
the vertex form of a Parabola opening up(a>0) or down(a<0), y=a%28x-h%29%5E2+%2Bk
the vertex form of a Parabola opening right(a>0) or left(a<0), x=a%28y-k%29%5E2+%2Bh