Question 973873

each conic has a "typical" equation form, sometimes along the lines of the following:

    parabola: {{{Ax^2 + Dx + Ey = 0}}}
    circle: {{{x^2 + y^2 + Dx + Ey + F = 0}}}
    ellipse: {{{Ax^2 + Cy^2 + Dx + Ey + F = 0}}}
    hyperbola: {{{Ax^2 - Cy^2 + Dx + Ey + F = 0}}}

you got

{{{x^2-6x = y+3}}} or

{{{x^2-6x-y-3 = 0}}}.....if you compare it to equations above, you see that you have a parabola


{{{ graph( 600, 600, -10, 10, -15, 10, x^2-6x-3) }}}