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