Indicate whether the equation represents an ellipse, hyperbola, circle, or parabola. In equations that contain bothth $x ^ { 2 }$ 2 and $y ^ { 2 }$ terms, divide both terms, divide bothsides of the equation by the constant term to put the equation in a more recognizable form.
-$3 x ^ { 2 } + 8 x - y = 72$
A)Parabola
B)Circle
C)Hyperbola
D)Ellipse

Question

Quizplus · Accepted Answer

The given equation can be rearranged to isolate $y$ on one side, resulting in a form that shows a quadratic relationship in $x$, which is characteristic of a parabola. The equation does not fit the standard forms of a circle, ellipse, or hyperbola, as it does not contain a $y^2$ term or have the necessary structure.

Indicate Whether the Equation Represents an Ellipse, Hyperbola, Circle, or Parabola