1. Conic Sections & Rational Functions MATHO Algebra 5/Trig

2. Write each of the terms on your MATHO Card 5 -5 3 -3 vertices co-vertices none 0 maximum major minor circle ellipse parabola right left up down hyperbola foci 4 asymptote vertical horizontal numerator denominator center 6 focus 1 2 7 9 x Y center radius Directrix minimum

3. In x 2 + (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.

4. 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: 4y 2 – x = 0 An 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).

5. 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 4y 2 – 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 _____.

6. 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 4x 2 – y = 0 face (up, down, right, left)? What are the coordinates of the center of the circle (x – 8) 2 + (y – 9) 2 = 49

7. 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 = 49 The ____ 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).