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15 Cards in this Set

  • Front
  • Back

Center of a circle

(h, k)

Standard form of a parabola

(x-h)^2 = 4p(y - k)



or



(y-k)^2 = 4p(x-h)

Vertex of a parabola

(h,k)

Standard form of a circle

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

Ellipse a, b, c

a^2 = b^2 + c^2

Hyperbola a, b, c

c^2 = a^2 + b^2

In a parabola, the directrix and the focal points are _____ distance from the _____

are "P" distance from the vertex

For an ellipse, the ______ stays the same while the _____ changes based on if the major axis is horizontal or vertical.

numerator stays the same and the denominator changes.



If MA = horizontal, (x/a) and (y/b)


If MA = vertical, (x/b) and (y/a)

For a hyperbola, the ______ stays the same while the _____ changes based on if the transverse axis is horizontal or vertical.

The denominator stays the same and the numerator changes.



If TA = horizontal, (x/a) and (y/b)


If TA = vertical, (y/a) and (x/b)

Stand form of a conic

Ax^2 + Cy^2 + Dx + Ey + F = 0

Conic: Circle

A = C

Conic: Parabola

AC = 0



Either A or C = 0, NOT both

Conic: Ellipse

AC > 0



BOTH A and C are + OR -

Conic: Hyperbola

AC < 0



Opposite signs! One is - and one is +

An ellipse has TWO _____

focal points