Conics
Vocabulary
Completeing the square
100
C=(4,2) r= 2
What is the center and radius of the equation? (x-4)^2 + (y-2)^2 =4
100
A fixed point that are used to define a ellipse or a hyperbola.
What is the definition of a foci?
100
x=2+- the square root of 15.
Complete the square of x^2 - 4x =1
200
(x-h)^2 + (y-k)^2 = r^2
What is the standard equation of a circle?
200
End points of minor axis at of an ellipse, conjugate axis, of an hyperbola.
What is the definition of a covertice?
200
x= 4 +- the square root of -14
Complete the square -2x^2 + 16x +60 = 0
300
V=4 Cv=2
What is the vertices and covertices of an ellipse? x^2 / 16 + y^2 /4 =1
300
Endpoints of a major axis of an ellipse, endpoints of a transverse axis of a hyperbola.
What is the definition of a vertice?
300
x^2 + 24x +144 = ( x + 12) ^2
Complete the square and write as a squared binomial. x^2 + 24x + _ = ( x + _) ^2
400
(5,0)
Find the midpoints between points (2,-4) and (8,4)
400
A fixed point that is used to define a circle, ellipse, or hyperbola
What is the definition of a circle?
500
(x-h)^2 / a^2 - (y-k)^2 / b2 =1
What is the standard equation for a hyperbola?
500
A line that curves as its x and y values become large or small.
What is the definition of an asymptote?
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