Question

How to put this ellipse in standard form

Answer 1

\[x^{2} + 4y^{2} - 6x + 8y + 9 = 0 \]

Answer 2

what do u mean by standard form

Answer 3

When I try to work with the y's I mess up

Answer 4

u mean derivative ?

Answer 5

(x-h)^2/a^2 + (y-k)^2/b^2 = 1

Answer 6

complete the square for both terms, eg:

4(y^2 +2y + ___ ) - ___ = 4y^2 +8y
4(y^2 +2y + 1) - 4 = 4y^2 +8y
4(y+1)^2 -4 = 4y^2 +8y

Answer 7

Thank you @Algebraic! That was very helpful!