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15 terms

Chapter Eight Conics

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Parabola Definition
Set of all points in a plane that are equidistant from a particular point to a particular line
Parabola equation
x^2=4py
focal width
4p
P
the distance from the vertex to the focus
Ellipse Definition
Set of all points in a plane whose distances from two fixed points (the foci) have a constant sum
Ellipse pythag
a^2=b^2+c^2
Ellipse 'a' placement
always largest and under the dominant term
Hyperbola defintion
set of all points in a plane whose distances from two fixed points have a common difference
Ellipse equation
x^2/a^2 + y^2/b^2=1
Hyperbola Equation
x^2/a^2 -y^2/b^2
Hyperbola 'a' placement
is fixed. direction is determined by x or y term first
Hyperbola pythag
c^2=a^2+b^2
Hyperbola Discriminant
B^2-4AC>0
Parabola Discriminant
B^2-4AC=0
Ellipse discriminant
B^2-4AC<0