Select the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. $x ^ { 2 } - 6 x - 3 y + 8 = 0$
A)Circle
B)Parabola
C)Hyperbola
D)Ellipse
E)None of the above

Question

Select the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola.  $x ^ { 2 } - 6 x - 3 y + 8 = 0$ 
A)Circle
B)Parabola
C)Hyperbola
D)Ellipse
E)None of the above

Quizplus · Accepted Answer

The given equation can be rewritten in the form of a parabola by completing the square for the x terms. It represents a parabola because it has only one squared term (x^2) and the y term is linear.

Select the Graph of the Equation as a Circle, a Parabola