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Alg 2B 6.6-11.4
Ellipses, compounded interest, hyperbolas, parabola formulas
16
Mathematics
11th Grade
01/14/2010
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Term
Horizontal ellipse
 Definition
(x-h)^2/a^2 + (y-k)^2/b^2 = 1
Term
Vertical ellipse
 Definition
(x-h)^2/b^2 + (y-k)^2/a^2 = 1
Term
What is the pythagorean relationship for an ellipse?
 Definition
a^2= b^2 + c^2
Term
What is "b"? (Ellipse)
 Definition
The center to the EMA
Term
What is "a"? (Ellipse)
 Definition
The center to the vertex
Term
What is "c"? (Ellipse)
 Definition
The center to the foci
Term
Horizontal hyperbola
 Definition
(x-h)^2/a^2 - (y-k)^2/b^2 = 1
Term
Vertical hyperbola
 Definition
(y-k)^2/a^2 - (x-h)^2/b^2 = 1
Term
What is "b"? (Hyperbola)
 Definition
Center to BP
Term
What is "a"? (hyperbola)
 Definition
Center to vertex
Term
What is "c"? (Ellipse)
 Definition
Center to foci
Term
What is the equation for the asymptotes? (Hyperbola)
 Definition
y-k= Plusminus a/b (x-h)
Term
Compounding interest?
 Definition
A=P (1+r/n)^nt
Term
Continuous compounding?
 Definition
A=Pe^rt
Term
Vertical parabola opening upward
What is the focus?
What is the directrix?
 Definition
(x-h)^2=4a(y-k)
F(h,k+a)
y=k-a
Term
Vertical parabola opening right
What is the focus?
What is the directrix?
 Definition
(y-k)^2=4a(x-h)
F(h+a,k)
x=h-a
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