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Circles
Circles and Elipses
Elipses
Parabola
Hyperbola
100
A= π r^2
What is the equation for the area of a circle?
100
Radius
What is half the diameter of a circle?
100
Pythagorean Theorem
Give another name for the equation used to find the a, b, and c components in ellipses equations.
100
Parabola
If there is only one squared term in a conics equation, how would it be classified?
100
Hyperbola
Given an equation, if one squared term is negative, what is it classified as?
200
C = 2π r
What is the equation for the circumference of a circle?
200
Foci
Name the missing component of an ellipse: vertices, co-vertices and _______.
200
x^2/a^2+y^2/b^2=1
Which equation would one use to find an ellipse with its center at origin and its major is horizontal?
200
Down
For a vertical parabola, it will open _______ if negative.
200
2a
For a hyperbola, the vertex to vertex length, transverse axis, is ______.
300
x^2 + y^2 = r^2
What is the equation for a circle with the center at origin?
300
Center to co-vertex
What does the b component in ellipses equations represent?
300
x^2/ b^2+y^2/ a^2=1
What is the equation for an ellipse with its center at origin and its major is vertical?
300
Right
For a horizontal parabola, it will open _______ if positive.
300
2b
For a hyperbola, the co-vertex to co-vertex length, conjugate axis, is ______.
400
(x-h)^2 + (y-k)^2 = r^2
What is the equation for a circle with center not at origin?
400
x^2+y^2+Ax+By+C=0
What is the general form for a circle?
400
(x-h)^2/a^2 + (y-k)^2/b^2
Name the equation for an ellipse with a center not at origin with a horizontal major.
400
x^2= 4py
What is the equation for a vertical parabola centered at the origin?
400
x^2/a^2-y^2/b^2=1
What is the equation of a horizontal hyperbola centered at zero?
500
Distance; √ (X2-X1)2 + (Y2-Y1)2
Given two ends of a diameter on a circle, one would use the _______ equation to eventually find the equation of a circle.
500
Midpoint; (X1+X2 , Y1+Y2) 2 2
Given a point on a circle and the center, one would use the _______ equation to find the equation of a circle.
500
(x-h)^2/b2 + (y-k)^2/a2
What is the equation for ellipses with centers not at origin with a vertical major?
500
y^2= 4px
What is the equation for a horizontal parabola centered at the origin?
500
y^2/a^2-x^2/b^2=1
Give the equation for a vertical hyperbola centered at zero.