Test 1 Flashcards

1
Q

Vertical parabola equations

A

(x-h)^2=4c(y-k) or y-ka(a-h)^2

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2
Q

Horizontal parabola equations

A

(y-k)^2=4c(x-h) or x-h=a(y-k)^2

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3
Q

Parabola

A

Only one variable is squared; either A=0 or C=0 but not both

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4
Q

Circle equation

A

(x-h)^2+(y-k)^2=r^2

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5
Q

Circle

A

x and y have same positive coefficient; A=C but not equal to 0

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6
Q

Vertical ellipse equation

A

x^2/a^2 + y^2/b^2 = 1

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7
Q

Horizontal ellipse equation

A

x^2/b^2 + y^2/a^2 = 1

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8
Q

Ellipse

A

x^2 and y^2 have different positive coefficients; A does not equal C, but product of AC is greater than 0

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9
Q

Foci of vertical ellipse

A

(+/- c, 0)

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10
Q

Foci of horizontal ellipse

A

(0, +/- c)

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11
Q

Vertical hyperbola equation

A

x^2/a^2 - y^2/b^2 = 1

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12
Q

Horizontal hyperbola equation

A

y^2/a^2 - x^2/b^2 = 1

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13
Q

Hyperbola

A

x^2 or y^2 has positive coefficient while other has negative coefficient

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14
Q

Foci of vertical hyperbola

A

(+/- c, 0)

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15
Q

Foci of horizontal hyperbola

A

(0, +/- c)

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16
Q

Asymptotes of vertical hyperbola

A

(+/- a, +/- b)

17
Q

Asymptotes of horizontal hyperbola

A

(+/- b, +/- a)