Identify the Conic as a Circle, Parabola, Ellipse, or Hyperbola $$2 x ^ { 2 } = 8 x + 3 \left( y ^ { 2 } - 8 y \right) + 46$$

Multiple Choice

Identify the conic as a circle, parabola, ellipse, or hyperbola. $$2 x ^ { 2 } = 8 x + 3 \left( y ^ { 2 } - 8 y \right) + 46$$

A) circle
B) hyperbola
C) parabola
D) ellipse
E) none of the above