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

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50 Miscellaneo us Parabolas Hyperbolas Ellipses Circles 40 30 20 10 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

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Page 1: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

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Page 2: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 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

Page 3: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

(2, -5)

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

Page 5: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

3

Page 6: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

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

Page 7: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

x2 + y2 = 16

Page 8: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

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

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

Page 9: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

(x – 2)2 + (y – 7)2 = 25

Page 10: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

Find the center and the radius for the circle with

the equationx2 + y2 – 4x +12y + 30 =

0

Page 11: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50
Page 12: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

How many vertices do ellipses have?

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4

Page 14: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

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

the major axis horizontal or vertical?

Page 15: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

Vertical

Page 16: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

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

Page 17: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50
Page 18: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

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.

Page 19: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50
Page 20: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

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

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

= 0

Page 21: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50
Page 22: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

What is the relationship

between a, b, and c for

hyperbolas? (equation)

Page 23: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

a2 + b2 = c2

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What are the names of the two axes for

hyperbolas?

Page 25: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

TransverseAnd

Conjugate

Page 26: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

Write the standard form of the equation of a

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

and (0, -5)

Page 27: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50
Page 28: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50
Page 29: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50
Page 30: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

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)

Page 31: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50
Page 32: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

The equation of a parabola has how many

squared terms?

Page 33: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

1

Page 34: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

What variable represents the distance from the

vertex of a parabola to the focus?

Page 35: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

p

Page 36: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

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

the vertex of the parabola?

Page 37: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

(2, -1)

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

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

Page 39: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

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

Page 40: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

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

with equationy2 – 2y – 12x + 13 = 0

Page 41: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

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

Directrix: x = -2Axis: y = 1

Page 42: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

Which conic section has two vertices?

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Hyperbola

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

+9 = 0 ?

Page 45: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

Parabola

Page 46: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

Which type of conic section is represented by

the equation4x2 – 4y2 + 5x – 6y +12 =

0?

Page 47: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

Hyperbola

Page 48: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

Write the standard form of the equation

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

Page 49: 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

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

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