Question

The graph of 11x - x^2 - 4y^2 = 2y - 16 is the graph of a(n) ________.

a. circle
b. ellipse
c. hyperbola
d. parabola

C?

Answer 1

if the signs of x^2 and y^2 terms are the same it is a circle or ellipse

If the coefficents are different, it's an ellipse

Since you have

11x - x^2 - 4y^2 = 2y - 16
x^2 + 4y^2 - 11x + 2y = 16

you have an ellipse. You will wind up with something of the form

(x-h)^2/4 + (y-k)^2 = 1

Answer 2

Thank you!