JEOPARDY

Rational Functions and Conics

By: Linda Heckman

Choose a category. You will be given the answer.

You must give the correct question. Click to begin.

Click here for Final Jeopardy

You got aParabolam?

Lunar Ellipse

HyperBola

10 Point

20 Points

30 Points

40 Points

50 Points

10 Point 10 Point 10 Point 10 Point

20 Points 20 Points 20 Points 20 Points

30 Points

40 Points

50 Points

30 Points 30 Points 30 Points

40 Points 40 Points 40 Points

50 Points 50 Points 50 Points

Circle theWagons

RationalizeThis

Find the vertical asymptote(s) for:

f (x) 2x 1

x 4

Answer:

Find the horizontal

asymptote(s) for:

f (x) 4

x 2

Answer:

y0

Find the vertical asymptote(s) for:

f (x) x 1

x2 5x 4

Answer:

x 4 and x 1

Find the x-intercept(s) for:

f (x) x2 2x 1

x2 4

Answer:

x 1

Find the oblique asymptote for:

f (x) x2 5x 4

x 1

Answer:

yx 6

Name the vertex:

x 2

3(y 3)2 4

Answer:

V( 4, 3)

Find the focus of:

x 2(y 1)2 3

Answer:

F 23

8, 1

Find the directrix:

x2 2x 6y 11 0

Answer:

y7

2

Find the equation of the parabola if V(-3, 1) and the

directrix is y = 2.

Answer:

y 1

4(x 3)2 1

Find the equation of the parabola

with F(-3, -3) and directrix x = -7.

Answer:

x 1

8(y 3)2 5

Find the center of:

(x 3)2 (y 4)2 25

Answer:

C( 3, 4)

Find the radius:

(x 1)2 (y 2)2 10

Answer:

r 10

Find the equation of the circle with

C(3, -2) and diameter of 10.

Answer:

(x 3)2 (y 2)2 25

Find the equation of the circle whose

endpoints of the diameter are (-7, 1)

and (3, 1).

Answer:

(x 2)2 (y 1)2 25

Find the center and radius:

x2 y2 4x 6y 36 0

Answer:C(2, 3)

r 7

Find the center of the ellipse:

(x 3)2

25y 2

161

Answer:

C( 3, 0)

Name all four vertices of the

ellipse:

x 2

25y 2

361

Answer:

V (0, 6)

M(5, 0)

Name the foci:

(x 3)2

25

(y 2)2

161

Answer:

F1( 6, 2)

F2(0, 2)

Write the equation of an ellipse with C(-2, 3), a vertical major axis of length 8 and a minor

axis of length 2.

Answer:

(x 2)2

1

(y 3)2

161

Find the vertices:

x 2 4y 2 6x 24y 410

Answer:

V (1, 3) (5, 3)

M(3, 2) (3, 4)

Find the center:

(y 2)2

25

(x 3)2

161

Answer:

C( 3, 2)

Find the vertices:

(y 2)2

25

(x 3)2

161

Answer:

V ( 3, 7) and ( 3, 3)

Find the foci:

(x 3)2

25

(y 2)2

161

Answer:

F( 3 41, 2)

Find the equation of the hyperbola with V(±2, 0) and

F(±3, 0).

Answer:

x 2

4y 2

51

Find the center:

4y 2 x 2 40y 4x 60 0

Answer:

C( 2, 5)

Make your wager

Define parabola.

Answer:

A parabola is the set of all points in a plane equidistant

from a fixed point F (the focus) and a fixed line l (the directrix)

that lie in the plane.