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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"
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)
Standard Equation of a Parabola
General form of a Parabola
y=ax²+bx+c (quadratic) (Opens up or down depending on ± a)
Equation of an ellipse with center at (0)
Standard equation of ellipse
General equation for ellipse
largest denominator is "Y"
An ellipse is vertical if
largest denominator is"X"
An ellipse is horizontal if
The shorter axis on an ellipse with co vertices
The longer axis on an ellipse with vertices
Equation of hyperbola with center at (0,0)
standard equation of a hyperbola
general equation of a hyperbola
hyperbola - if x² is positive then hyperbola opens
hyperbola - if y² is positive then hyperbola opens
hyperbola xy=k means
hyperbola does not intersect x or y axis
Equation adds x²/a² and y²/b²=1
Equation subtracts x²/a and y²/b=1; x and y coefficients have different signs.
the graph of a quadratic function
Curves found by cutting a cone with a plane.
The point where two sides meet. (Shared end points of the line segments of a polygon.)
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.
An imaginary line on a graph that acts as a boundary line.
A curve formed by the intersection of a plane and a double cone resulting in a circle, ellipse, parabola, and hyperbola.
Standard Form of an Equation of a Circle