Question

Identify the type of comic section given by the following equation X^2+8x-8y-8=0ParabolaEllipseHyperbolaDegenerate conicThis is an assgement I don’t understand it

Answer 1

Answer

Parabola

Explanation

Since there are not coefficients for y^2 and xy that conic section must be a parabola:

$\begin{gathered} x^2+8x-8y-8=0 \\ -8y=-x^2-8x+8 \\ y=\frac{x^2}{8}+x-1 \end{gathered}$