conic sections Flashcards

1
Q

x and y squared , same coefficient / sign

A

Circle

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2
Q

only one variable is squared

A

Parabola

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3
Q

x and y squared , BOTH POSITIVE

A

Ellipse

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4
Q

x and y squared , 1 POSITIVE 1 NEGATIVE

A

Hyperbola

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5
Q

Equation of Circle

A

(x-h)² + (y-k)² = r²

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6
Q

Horizontal Parabola

A

(x-h)² = 4p (y-k)

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7
Q

Vertical Parabola

A

4p (x-h) = (y-k)²

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8
Q

Latus rectum

A

4p , 2p each from focus

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9
Q

PARABOLA:

4p is at (y-k) ; p > 0

A

UP

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10
Q

PARABOLA:

4p is at (y-k) ; p < 0

A

DOWN

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11
Q

PARABOLA:

4p is at (x-h) ; p > 0

A

RIGHT

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12
Q

PARABOLA:

4p is at (x-h) ; p < 0

A

LEFT

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13
Q

Horizontal Ellipse

A

(x-h)² / a² + (y-k)² / b² = 1

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14
Q

Vertical Ellipse

A

(x-h)² / b² + (y-k)² / a² = 1

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15
Q

Ellipse (a)

A

Center to Vertex

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16
Q

Ellipse (b)

A

Center to Minor Axis

17
Q

Ellipse (c)

A

Center to Focus

18
Q

Ellipse :

Bigger denominator at x

A

Horizontal

19
Q

Ellipse :

Bigger denominator at y

A

Vertical

20
Q

Horizontal Hyperbola

A

(x-h)² / a² - (y-k)² / b² = 1

21
Q

Vertical Hyperbola

A

(y-k)² / a² + (x-h)² / b² = 1

22
Q

Hyperbola :

Positive is at x

A

Horizontal

23
Q

Hyperbola :

Positive is at y

A

Vertical