SOLUTION: please help me learn how to do this: identify the conic represented by the equation x^2-6x = y+3

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Question 973873: please help me learn how to do this:
identify the conic represented by the equation x^2-6x = y+3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

each conic has a "typical" equation form, sometimes along the lines of the following:
parabola: Ax%5E2+%2B+Dx+%2B+Ey+=+0
circle: x%5E2+%2B+y%5E2+%2B+Dx+%2B+Ey+%2B+F+=+0
ellipse: Ax%5E2+%2B+Cy%5E2+%2B+Dx+%2B+Ey+%2B+F+=+0
hyperbola: Ax%5E2+-+Cy%5E2+%2B+Dx+%2B+Ey+%2B+F+=+0
you got
x%5E2-6x+=+y%2B3 or
x%5E2-6x-y-3+=+0.....if you compare it to equations above, you see that you have a parabola

+graph%28+600%2C+600%2C+-10%2C+10%2C+-15%2C+10%2C+x%5E2-6x-3%29+