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Circle PowerPoint PPT Presentation


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Circle. Ellipse. N. 4 points. Asymptotes are drawn thru the box corners (y-k) = +/- m(x-h). ( h,k ). W. E. Radius (r). Tangent @ point ( a,b ). Major axis length = 2a Minor axis length = 2b Find foci:. b. c. S. AOS. Major axis. Hyperbola. Parabola. c. 2b. 2p. focal.

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Circle

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Circle

Circle

Ellipse

N

4 points

Asymptotes are drawn thru the box corners

(y-k) = +/- m(x-h)

(h,k)

W

E

Radius (r)

Tangent @ point (a,b)

Major axis length = 2a

Minor axis length = 2b

Find foci:

b

c

S

AOS

Major axis

Hyperbola

Parabola

c

2b

2p

focal

(h,k)

focus

a

EOLR

(h,k)

p

Minor axis

vertical: x is squared

if p = +, then faces up

if p = -, then faces down

horizontal: y is squared

if p = +, then faces right

if p = -, then faces left

(h,k)

2a

p

If x is first, draw curves left/right, & (h +/- a, k)

If y is first draw curves up/down & (h, k +/- b)

Find Foci:

directrix


Circle

Circle

Ellipse

Symmetry:

Describe the plane intersection:

Real-World example:

Symmetry:

Describe the plane intersection:

Real-World example:

Hyperbola

Parabola

Symmetry:

Describe the plane intersection:

Real-World example:

Symmetry:

Describe the plane intersection:

Real-World example:


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