Identify the conic as a circle, parabola, ellipse, or hyperbola. $$- 6 x ^ { 2 } = - 48 x + 11 \left( y ^ { 2 } - 10 y \right) + 305$$
A) parabola
B) hyperbola
C) ellipse
D) circle
E) none of the above

Question

Quizplus · Accepted Answer

The equation is in the form of an ellipse, $$\frac{(x-h)^2}{b^2} + \frac{(y-k)^2}{a^2} = 1$$, where $h$ and $k$ are the coordinates of the center, $a$ is the length of the semi-major axis, and $b$ is the length of the semi-minor axis.

Identify the Conic as a Circle, Parabola, Ellipse, or Hyperbola −6x2=−48x+11(y2−10y)+305- 6 x ^ { 2 } = - 48 x + 11 \left( y ^ { 2 } - 10 y \right) + 305−6x2=−48x+11(y2−10y)+305

Identify the Conic as a Circle, Parabola, Ellipse, or Hyperbola $- 6 x ^ { 2 } = - 48 x + 11 \left( y ^ { 2 } - 10 y \right) + 305$