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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

Identify the type of comic section given by the following equation X^2+8x-8y-8=0ParabolaEllipseHyperbolaDegenerate-example-1
User Mattb
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1 Answer

11 votes
11 votes

Answer

Parabola

Step-by-step 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=(x^2)/(8)+x-1 \end{gathered}

User Alfredo Minor
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