Conic Sections and Their Properties

Circles, ellipses, parabolas, hyperbolas

Triangles, squares, circles, ellipses

Parabolas, hyperbolas, squares, rectangles

Ellipses, circles, triangles, hexagons

(x + h)^2 + (y + k)^2 = r^2

x^2 + y^2 = r^2

(x - h)^2 + (y - k)^2 = r^2

x^2 - y^2 = r^2

By looking at the coefficients of x and y

By setting x and y to zero

By identifying the values of h and k in (x - h)^2 + (y - k)^2 = r^2

By finding the square root of the radius

A set of points equidistant from two points

A set of points equidistant from a triangle

A set of points equidistant from a point and a line

A set of points equidistant from a circle

The distance from the vertex to the focus

The distance from the vertex to the directrix

The distance from the center to the vertex

The distance from the center to the co-vertex

(x - h)^2/a^2 + (y - k)^2/b^2 = 1

(x - h)^2 + (y - k)^2 = r^2

x^2 - y^2 = 1

(x + h)^2/a^2 - (y + k)^2/b^2 = 1

By measuring the distance from the center to the vertex

By calculating the distance between the foci

By finding the sum of the denominators

By identifying the larger denominator in the standard form equation

A set of points where the difference of distances to two foci is constant

A set of points where the sum of distances to two foci is constant

A set of points equidistant from a circle

A set of points equidistant from a point and a line

The direction in which the hyperbola opens

The length of the major axis

The distance between the foci

The location of the center