Which direction does the graph of the equation shown below open

John M Gant asked Oct 5, 2023

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John M Gant asked Oct 5, 2023

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20 votes

$\begin{gathered} y^2-4x+4y-4=0 \\ x=(y^2+4y-4)/(4) \end{gathered}$

This is a horizontal parabola, and since the coefficient of the quadratic term is positive, we can conclude it opens to the right

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