What's the process that needs to take place to be able to graph the following equation (not-using a graphing calculator):(adsbygoogle = window.adsbygoogle || []).push({});

x^{2}+ 12xy + 36y^{2}+ 2x - 3y - 9 = 0

I know to use the B^{2}- 4AC formula to identify the equation as being parabolic, though I don't understand the formula...

Looking at the equation at first, I thought you could factor it to resemble something like:

(x^{2}= y or y^{2}= x)

But, that's where my thinking ended (or maybe it never actually began...)

Thanks!

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# Graphing Conic Section

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