Algebraic Graphs

Dave's Math Tables: Algebraic Graphs

(Math | OddsEnds | Graphs | Algebra)

Conic Sections
(see also Conic Sections) Point

x^{^2} + y^{^2} = 0 Circle

x^{^2} + y^{^2} = r^{^2}
Ellipse

x^{^2} / a^{^2} + y^{^2} / b^{^2} = 1 Ellipse

x^{^2} / b^{^2} + y^{^2} / a^{^2} = 1 Hyperbola

x^{^2} / a^{^2} - y^{^2} / b^{^2} = 1
Parabola

4px = y^{^2} Parabola

4py = x^{^2} Hyperbola

y^{^2} / a^{^2} - x^{^2} / b^{^2} = 1

For any of the above with a center at (j, k) instead of (0,0), replace each x term with (x-j) and each y term with (y-k) to get the desired equation.

Conic Sections (see also Conic Sections)	Point x^{^2} + y^{^2} = 0	Circle x^{^2} + y^{^2} = r^{^2}
Ellipse x^{^2} / a^{^2} + y^{^2} / b^{^2} = 1	Ellipse x^{^2} / b^{^2} + y^{^2} / a^{^2} = 1	Hyperbola x^{^2} / a^{^2} - y^{^2} / b^{^2} = 1
Parabola 4px = y^{^2}	Parabola 4py = x^{^2}	Hyperbola y^{^2} / a^{^2} - x^{^2} / b^{^2} = 1
For any of the above with a center at (j, k) instead of (0,0), replace each x term with (x-j) and each y term with (y-k) to get the desired equation.