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formulas

1
Q

What is the LRN1 and LRN2 if the parabola opening is right and the vertex is not in the origin?

A

LRN1(h+a,k+2a)
LRN2(h+a,k-2a)

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2
Q

What is the LRN1 and LRN2 if the equation is (y-k)²=4a(x-h) and the vertex is not in the origin?

A

LRN1(h+a,k+2a)
LRN2(h+a,k-2a)

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3
Q

What is the focus if the parabola opening is left and the vertex is not in the origin?

A

(h-a,k)

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4
Q

What is the opening of parabola if the focus is (h+a,k) and the vertex is not in the origin?

A

Right

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5
Q

What is the AS of parabola if it opens left and the vertex is in the origin?

A

y = 0

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6
Q

What is the AS of parabola if it opens right and the vertex is in the origin?

A

y = 0

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7
Q

What is the LRN1 and LRN2 if the parabola opening is downward and the vertex is not in the origin?

A

LRN1(h+2a,k-a)
LRN2(h-2a,k-a)

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8
Q

What is the focus if the directrix is y=k-a and the vertex is not in the origin?

A

(h,k+a)

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9
Q

What is the parabola opening if the equation is y²=4ax and the vertex is in the origin?

A

Right

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10
Q

What is the diretrix of parabola if it opens downward and the vertex is in the origin?

A

y = a

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11
Q

What is the directrix if the parabola opening is left and the vertex is not in the origin?

A

x=h+a

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12
Q

What is the directrix if the parabola opening is downward and the vertex is not in the origin?

A

y=k+a

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13
Q

midpoint formula

Circle

A

x = x² + x¹ / 2 or y = x² + x¹ / 2

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14
Q

What is the diretrix of parabola if it opens upward and the vertex is in the origin?

A

y = -a

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15
Q

What is the parabola opening if the equation is y²=-4ax and the vertex is in the origin?

A

Left

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16
Q

What is the equation of parabola if it opens downward and the vertex is in the origin?

A

x² = -4ay

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17
Q

What is the focus if the LRN1(h+2a,k+a)
LRN2(h-2a,k+a) and the vertex is not in the origin?

A

(h,k+a)

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18
Q

What is the focus if the LRN1(h+2a,k-a)
LRN2(h-2a,k-a) and the vertex is not in the origin?

A

(h,k-a)

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19
Q

What is the focus if the directrix is y=k+a and the vertex is not in the origin?

A

(h,k-a)

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20
Q

What is the opening of parabola if the focus is (h,k-a) and the vertex is not in the origin?

A

Downward

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21
Q

What is the diretrix of parabola if it opens left and the vertex is in the origin?

A

x = a

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22
Q

What is the equation if the focus is (h+a,k) and the vertex is not in the origin?

A

(y-k)²=4a(x-h)

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23
Q

What is the opening of parabola if the focus is (h-a,k) and the vertex is not in the origin?

A

Left

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24
Q

What is the opening of parabola if the focus is (h,k+a) and the vertex is not in the origin?

A

Upward

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25
What is the parabola opening if x²=-4ay and the vertex is in the origin?
Downward
26
What is the LR1 and LR2 of parabola if it opens right and the vertex is in the origin?
LR1=(a,2a) LR2=(a,-2a)
27
What is the equation of parabola if it opens in the left and the vertex is in the origin?
y² = -4ax
28
What is the equation if the directrix is x=h+a and the vertex is not in the origin?
(y-k)²=-4a(x-h)
29
What is the directrix if the parabola opening is upward and the vertex is not in the origin?
y=k-a
30
What is the parabola opening if the focus is at (a,0) and the vertex is in the origin?
right
31
What is the diretrix of parabola if it opens right and the vertex is in the origin?
x = -a
32
The formula if the center is in the origin ## Footnote Circle
x² + y² = r²
33
What is the LR1 and LR2 of parabola if it opens downward and the vertex is in the origin?
LR1=(2a,-a) LR2=(-2a,-a)
34
What is the focus if the LRN1(h+a,k+2a) LRN2(h+a,k-2a) and the vertex is not in the origin?
(h+a,k)
35
What is the focus if the parabola opening is right and the vertex is not in the origin?
(h+a,k)
36
What is the equation of parabola if it opens upward and the vertex is in the origin?
x² = 4ay
37
What is the AS of parabola if it opens upward and the vertex is in the origin?
x = 0
38
What is the focus if the LRN1(h-a,k+2a) LRN2(h-a,k-2a) and the vertex is not in the origin?
(h-a,k)
39
What is the equation if the directrix is y=k-a and the vertex is not in the origin?
(x-h)²=4a(y-k)
40
What is the equation if the focus is (h-a,k) and the vertex is not in the origin?
(y-k)²=-4a(x-h)
41
What is the parabola opening if the equation is x²=4ay and the vertex is in the origin?
Upward
42
What is the LR1 and LR2 of parabola if it opens upward and the vertex is in the origin?
LR1=(2a,a) LR2=(-2a,a)
43
What is the LR1 and LR2 of parabola if it opens left and the vertex is in the origin?
LR1 =(-a,2a) LR2 =(-a,-2a)
44
General formula of a circle
x² + y²+ 2hx + 2ky + h² + k² = 0
45
What is the LRN1 and LRN2 if the parabola opening is left and the vertex is not in the origin?
LRN1(h-a,k+2a) LRN2(h-a,k-2a)
46
What is the equation if the parabola opening is downward and the vertex is not in the origin?
(x-h)²=-4a(y-k)
47
What is the parabola opening if the focus is at (-a,0) and the vertex is in the origin?
Left
48
What is the opening of parabola if the directrix is y=k+a and the vertex is not in the origin?
Downward
49
What is the equation if the parabola opening is upward and the vertex is not in the origin?
(x-h)²=4a(y-k)
50
# i What is the focus if the directrix is x=k+a and the vertex is not in the origin?
(h-a,k)
51
What is the equation if the directrix is x=h-a and the vertex is not in the origin?
(y-k)²=4a(x-h)
52
What is the equation if the directrix is y=k+a and the vertex is not in the origin?
(x-h)²=-4a(y-k)
53
What is the equation of parabola if it opens in the right and the vertex is in the origin?
y² = 4ax
54
What is the LRN1 and LRN2 if the equation is (x-h)²=-4a(y-k) and the vertex is not in the origin?
LRN1(h+2a,k-a) LRN2(h-2a,k-a)
55
What is the LRN1 and LRN2 if the equation is (y-k)²=-4a(x-h) and the vertex is not in the origin?
LRN1(h-a,k+2a) LRN2(h-a,k-2a)
56
What is the focus if the directrix is x=h-a and the vertex is not in the origin?
(h+a,k)
57
What is the equation if the parabola opening is right and the vertex is not in the origin?
(y-k)²=4a(x-h)
58
The formula if the center is not in the origin ## Footnote Circle
(x-h)²+(y-k)²=r²
59
Standard formula of a circle
(x-h)² + (y-k)² = r²
60
What is the focus of parabola if it opens left and the vertex is in the origin?
(-a,0)
61
What is the LRN1 and LRN2 if the equation is (x-h)²=4a(y-k) and the vertex is not in the origin?
LRN1(h+2a,k+a) LRN2(h-2a,k+a)
62
What is the directrix if the parabola opening is right and the vertex is not in the origin?
x=h-a
63
What is the parabola opening if the focus is at (0,a) and the vertex is in the origin?
Upward
64
What is the opening of parabola if the directrix is x=h-a and the vertex is not in the origin?
Right
65
What is the focus if the parabola opening is upward and the vertex is not in the origin?
(h,k+a)
66
What is the AS of parabola if it opens downward and the vertex is in the origin?
x = 0
67
What is the equation if the parabola opening is left and the vertex is not in the origin?
(y-k)²=-4a(x-h)
68
What is the focus of parabola if it opens downward and the vertex is in the origin?
(0,-a)
69
What is the equation if the focus is (h,k-a) and the vertex is not in the origin?
(x-h)²=-4a(y-k)
70
What is the LRN1 and LRN2 if the parabola opening is upward and the vertex is not in the origin?
LRN1(h+2a,k+a) LRN2Ch-2a,k+a)
71
What is the opening of parabola if the directrix is y=k-a and the vertex is not in the origin?
Upward
72
What is the parabola opening if the focus at (0,-a) and the vertex is in the origin?
Downward
73
What is the focus of parabola if it opens upward and the vertex is in the origin?
(0,a)
74
What is the focus if the parabola opening is downward and the vertex is not in the origin?
(h,k-a)
75
What is the opening of parabola if the directrix is x=h+a and the vertex is not in the origin?
Left
76
What is the focus of parabola if it opens left and the vertex is in the origin?
(-a,0)
77
What is the equation if the focus is (h,k+a) and the vertex is not in the origin?
(x-h)²=4a(y-k)

Sem1 (15 decks)

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