Conic Sections & Rational Functions MATHO
Algebra 5/Trig
Write each of the terms on your MATHO Card5
-53-3verticesco-verticesnone0maximummajorminor
circleellipseparabolarightleftupdownhyperbolafoci
4asymptoteverticalhorizontalnumeratordenominatorcenter6focus
1279xYcenterradiusDirectrixminimum
In x2 + (y – 5)2 = 0, the ____ is (0, 5).
What is the center of this circle: (x – 2) 2 + (y + 3) 2 = 4
What is the radius of this circle: (x – 2) 2 + (y + 3) 2 = 36
Name the conic section
What is the vertex of this parabola? (2,___) y = (x – 2) 2 + 3
If the parabola has a y 2 then the directrix is a line ___ (x or y) = some number.
2 29 9x y
The line on the outside of a parabola whose distance from the conic to the vertex remains constant is called the ____,
In (x – 2) 2 + (y + 3) 2 = 4, the ____ is 2.The point inside a parabola from which the
difference of the distance is compared.Name the conic section: 4y2 – x = 0An ellipse has 2 of these from which the sum of
the distances to the ellipse remains constant.The vertices on the shorter part of the ellipse are
called _____.This conic has a ___ (maximum or minimum).The shortest part of the ellipse is on the ___ axis
(major or minor).
Name the conic section:
If the degree of the numerator = the degree of the denominator, the asymptote is ___.
In x 2 + (y – 9) 2 = 49, the center is at (_,9)What direction will the parabola 4y2 – x = 0
face (up, down, right, left)?
To find the y-intercept(s), find f(___).
The imaginary line where the distance between the graph and the line approaches 0 is called the _____.
2 225y x
Name the conic section:
For (x – 2) 2 + (y – 3) 2 = 49, (2, 3) is the ____ of the circle.
If the degree of the numerator < the degree of the denominator , the asymptote is: ___
What direction will the parabola 4x2 – y = 0 face (up, down, right, left)?
What are the coordinates of the center of the circle (x – 8) 2 + (y – 9) 2 = 49
2 24 16x y
Name the axis that this hyperbola is on: If the degree of the denominator > degree of
the numerator, the asymptote is ______.If the numerator cannot = 0 (e.g. 5 does not =
0), the x-intercepts are _____.What is the radius of the circle
(x – 8) 2 + (y – 9) 2 = 49The ____ asymptote is found by comparing
the degrees of the numerator and denominator.
The longest part of the ellipse is on the ____ axis (major or minor).
2 24 16x y