50 miscellaneous parabolas hyperbolas ellipses circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20...

Post on 04-Jan-2016

228 Views

Category:

Documents

0 Downloads

Preview:

Click to see full reader

TRANSCRIPT

50

MiscellaneousParabolasHyperbolasEllipsesCircles

40

30

20

10 10

20

30

40

50

10

20

30

40

50

10

20

30

40

50

10

20

30

40

50

What is the center of the circle with the equation(x – 2)2 + (y + 5) 2 = 9

(2, -5)

What is the radius of the circle with the equation(x – 1) 2 + (y – 3) 2 = 9

3

What is the standard form of the equation of a circle with center at the origin and a radius of 4?

x2 + y2 = 16

What is the standard form of the equation of a circle that has a diameter

with endpoints (-2, 10) and (6, 4)?

(x – 2)2 + (y – 7)2 = 25

Find the center and the radius for the circle with

the equationx2 + y2 – 4x +12y + 30 =

0

How many vertices do ellipses have?

4

If the foci of an ellipse are (0, 5) and (0, -5), is

the major axis horizontal or vertical?

Vertical

In an ellipse, if a = 4 and b = 3, what is c?

Write the standard form of the equation of an

ellipse with foci at (-4, 7) and (-4, -1), and

whose major axis is 10 units long.

Find the coordinates of the center, the foci, and the vertices of the ellipse

with the equation 4x2 + 9y2 -40x +36y +100

= 0

What is the relationship

between a, b, and c for

hyperbolas? (equation)

a2 + b2 = c2

What are the names of the two axes for

hyperbolas?

TransverseAnd

Conjugate

Write the standard form of the equation of a

hyperbola where a = 3 and the foci are at (0, 5)

and (0, -5)

Write the standard form of the equation of a

hyperbola with foci at (0, 8) and

(0, -8) and vertices at (0, 6) and (0, -6)

The equation of a parabola has how many

squared terms?

1

What variable represents the distance from the

vertex of a parabola to the focus?

p

If a parabola has a directrix at y = 1 and a focus at (2, -3), what is

the vertex of the parabola?

(2, -1)

Write the standard form of the equation of the parabola where the

vertex is at (2, 3) and the focus is at (-5, 3)

(y - 3)2 = -28(x - 2)

Find the vertex, the focus, the directrix, and the axis for the parabola

with equationy2 – 2y – 12x + 13 = 0

Vertex: (1, 1)Focus: (4, 1)

Directrix: x = -2Axis: y = 1

Which conic section has two vertices?

Hyperbola

What type of conic section is represented by the equation x2 – 4y -6x

+9 = 0 ?

Parabola

Which type of conic section is represented by

the equation4x2 – 4y2 + 5x – 6y +12 =

0?

Hyperbola

Write the standard form of the equation

4x2 + 4y2 + 8x + 16y + 4 = 0

(x+1) 2 + (y + 2) 2 = 4

top related