Formulas To Memorize Flashcards

1
Q

Vertex of a parabola

A

(h, k)

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2
Q

Equation of a parabola which opens up or down

A

(y-k) = +/- 1/4p (x-h)^2

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3
Q

Equation of a parabola that opens right or left

A

(x-h) = +/-1/4p (y-k)^2

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4
Q

Equation for exponential growth/decay

A

y= a•b^x

Growth: b>1
Decay: b<1

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5
Q

Growth/decay formula

A

y = a(1+/-r)^t

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6
Q

Compounded interest formula

A

y=a(1+r/n)^nt

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7
Q

Continuous growth formula

A

y= Pe^rt

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8
Q

Half life formula

A

y=a(1/2)^t/H

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9
Q

Trigonometry pi

A

1 Pi= 180 degrees
2 pi= 360 degrees
So, pi/2 is 180/2

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10
Q

Unit circle sin0 and cos0 and tan0

A

sin0= y
cos0= x
tan0= y/x

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11
Q

Radian formula

A

0radians= s/r

0 radians = (arc length)/ (radius)

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12
Q

Trigonometric graph formula

A

y=a•sin•b(x-d)+c

A= amplitude
B= finds the period (period= 2pi/b)
C= shift up or down
D= shift right or left

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13
Q

Recursive formulas

A

A1=

ARITH
An= an-1 +d

GEO
An= an-1•r

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14
Q

Independence formulas prob

A

P(A) • P(B) = P(AnB)
P(A)= P(A|B)

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15
Q

Prob OR formula

A

OR= P(A)+P(B)-P(AnB)

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16
Q

Prob GIVEN formula

A

P(A|B)=P(AnB)/P(B)

17
Q

Confidence interval

A

mean+/-2(SD)

18
Q

Calculating margin of error

A

2(SD)

19
Q

Inverse equation

A

Switch x and y, solve for y
f^-1(x)

20
Q

Center radius formula

A

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

21
Q

Calculating average rate of change

A

Slope formula
y2-y1/x2-x1

22
Q

as sample size increases, what happens to margin of error

A

margin of error decreases