Level 496
Level 498

#### 32 words 0 ignored

Ready to learn
Ready to review

## Ignore words

Check the boxes below to ignore/unignore words, then click save at the bottom. Ignored words will never appear in any learning session.

**Ignore?**

A=√(x₁-x₂)²+(y₁-y₂)²

Distance formula

x²+y² = r²

Equation of a circle with center at (0,0)

(x-h)²+(y-k)²=r² (center at h,k)

Standard Equation of a circle with radius "r"

x²+y²+Dy+Ey+F=0

General Equation of a circle

Standard equation of a Parabola with center at 0

x=y² (opens left or right) y=x² (opens up or down)

x=a(y-k)²+h

Standard Equation of a Parabola

General form of a Parabola

y=ax²+bx+c (quadratic) (Opens up or down depending on ± a)

x²/a²+y²/b²=1

Equation of an ellipse with center at (0)

(x-h)²/a²+(y-k)²/b²=1

Standard equation of ellipse

Ax²+By²+Cx+Dy+E=0

General equation for ellipse

largest denominator is "Y"

An ellipse is vertical if

largest denominator is"X"

An ellipse is horizontal if

Minor Axis

The shorter axis on an ellipse with co vertices

Major Axis

The longer axis on an ellipse with vertices

x²/a²-y²/b²=1

Equation of hyperbola with center at (0,0)

(x-h)²/a²-(y-k)²/b²=1

standard equation of a hyperbola

ax²-by²+cx+dy+e=0

general equation of a hyperbola

horizontally

hyperbola - if x² is positive then hyperbola opens

vertically

hyperbola - if y² is positive then hyperbola opens

hyperbola xy=k means

hyperbola does not intersect x or y axis

Circle

r= asin(theta)

Ellipse

Equation adds x²/a² and y²/b²=1

Hyperbola

Equation subtracts x²/a and y²/b=1; x and y coefficients have different signs.

Parabola

the graph of a quadratic function

y-y₁=m(x-x₁)

Point-Slope form

Conic Sections

Curves found by cutting a cone with a plane.

vertex

The point where two sides meet. (Shared end points of the line segments of a polygon.)

Center

Each regular polygon has a center because it can be inscribed in a circle.

Focus (Foci - plural)

One of two fixed points at the centers of an ellipse.

Asymptote

An imaginary line on a graph that acts as a boundary line.

Conic Section

A curve formed by the intersection of a plane and a double cone resulting in a circle, ellipse, parabola, and hyperbola.

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

Standard Form of an Equation of a Circle