Select the graph of the equation as a circle,a parabola,an ellipse,or a hyperbola. $$y ^ { 2 } + 8 x + 5 y + 26 = 0$$
A)Ellipse
B)Hyperbola
C)Circle
D)Parabola
E)None of the above

Question

Select the graph of the equation as a circle,a parabola,an ellipse,or a hyperbola.​ $$y ^ { 2 } + 8 x + 5 y + 26 = 0$$ ​
A)Ellipse
B)Hyperbola
C)Circle
D)Parabola
E)None of the above

Quizplus · Accepted Answer

The given equation can be rearranged to the form of a parabola by completing the square for the y terms. It represents a parabola because it has only one squared term (y^2).

Select the Graph of the Equation as a Circle,a Parabola,an y2+8x+5y+26=0y ^ { 2 } + 8 x + 5 y + 26 = 0y2+8x+5y+26=0

Select the Graph of the Equation as a Circle,a Parabola,an $y ^ { 2 } + 8 x + 5 y + 26 = 0$