Conic Sections Equations

The equations of conic sections are very important because they tell you not only which conic section you should be graphing but also what the graph should look like.

Conic sections equations. There are four basic types. A conic section which does not fit the standard form of equation. X 2 a 2 y 2 b 2 1.

Circle ellipse parabola and hyperbola. X 2 a 2 y 2 b 2 1. Find an equation of the circle with centre at 0 0 and radius r.

Therefore the equation of the circle is x 2 y 2 r 2. Equations when placed like this on an x y graph the equation for an ellipse is. Each conic section also has a degenerate form.

We can make an equation that covers all these curves. The circle is a special case of the ellipse though historically it was sometimes called a fourth type. Conic section formulas for latus rectum in hyperbola.

The appearance of each conic section has trends based on the values of the constants in the equation. X 2 a 2 y 2 a 2 1. A line which a curved function or shape approaches but never touches.

Learn about the four conic sections and their equations. The equation of a circle is x h 2 y k 2 r 2 where r is equal to the radius and the coordinates x y are equal to the circle center. Ax 2 dx ey 0 circle.