Find the vertices, center, asymptotes, and foci of the ellipse and sketch its graph: 9x^2-4y^2-18x+8y+41=0

Answer 1

9x^2-4y^2-18x+8y+41=0
9(x^2 - 2x + .....) - 4(y^2 - 2y + ....) = -41

9(x^2 - 2x + 1) - 4(y^2 - 2y + 1) = -41 + 1 + 1

I will let you finish it from there.
You do realize of course, that your equation does NOT represent an ellipse.

Answer 2

You forgot to multiply the 9 and the 4 to make the equation = -41 + 9 - 4

Answer 3

you are right, I messed up