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Algebra 2 Common Core Regents
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Gravity
Terms in this set (64)
Remainder Theorem
If (x+4) is a factor of P(x), then P(-4) = 0
Average rate of change
y₂-y₁
−−−−
x₂-x¹
Exponential Growth
y = P(1+r)^x
Exponential Decay
A = P(1-r)^x
Compound Interest
A = P(1 + r/n)^nt
Compounded Continuously
A = Pe^rt
y = log₂x Asymptote
x = 0
Never crosses y
y = 2^x Asymptote
y = 0
Never crosses x
In the unit circle, sinθ =
The y value
In the unit circle, cosθ =
The x value
In the unit circle, tanθ =
y / x or sinθ/cosθ
cscθ
1/sinθ =
cotθ
cosθ/sinθ =
secθ
1/cosθ
Which letter represents the amplitude in: y = asinθb(x + c) + d and what does it represent?
a; determines the height from the minimum
Which letter represents the frequency in: y = asinθ(bx + c) + d and what does it represent?
b; how many times you see the curve between 0 and 2π
Which letter represents the phase shift in: y = asinθ(bx + c) + d and what does it represent?
c; moving the trig function left or right
Which letter represents the vertical shift in: y = asinθ(bx + c) + d and what does it represent?
d; moving the trig function up or down. also tells us the midline of the function
How do you find the maximum value of a trig function? y = asinθ(bx + c) + d
d + |a| =
How do you find the minimum value of a trig function? y = asinθ(bx + c) + d
d - |a|
Period of a trig function: y = asinθ(bx + c) + d
How long it takes to see one curve.
Formula: 2π/b
Two Events are Independent if...
P(A|B) = P(A) OR P(A∩B) = P(A) x P(B)
P(A∪B) (OR)
P(A) + P(B) - P(A∩B)
95% Confidence Interval
Mean ± 2 Standard Deviations
Margin of Error
The number which represents 2 Standard Deviations
Convert to a radical: b^1/n
n√b^1=
Convert to a positive exponent: b^-x
1/b^x
Convert to a log: b^y=x
y=log∨b(x) →
xlog∨b(a)
log∨b(a^x) →
Even Functions have symmetry at the
Y-Axis
Odd Functions have symmetry at the
The Origin
Even degree end behaviors will always be
up, up or down, down
Odd degree end behaviors will always be
up, down or down, up
The degree of a polynomial represents
The highest exponent
What does the 'p' value represent in the following equation? y = 1/2p(x-h)²+k
The distance between the focus and directrix
What does (h, k) represent in the following equation? y = 1/2p(x-h)²+k
The vertex
Directrix
The line underneath or above a parabola
Focus
The point inside the parabola
The vertex of a parabola is
Directly in between the focus and directrix
Converting from Radians to Degrees
Multiply by 180/π
Converting from Degrees to Radians (DR POT!)
Multiply by π/180
How do you know when to do the Rainbow factoring method?
When a > 1
Discriminant Formula
b²-4ac
If b²-4ac = A Perfect Square, then the nature of the roots is
Real, Rational and Unequal
If b²-4ac = NOT A Perfect Square, then the nature of the roots is
Real, Irrational and Unequal
If b²-4ac = Zero, then the nature of the roots is
Real, Rational and Equal
If b²-4ac = A Negative Number, then the nature of the roots is
Imaginary
√-1 =
i
i² =
-1
i³ =
- i
i⁴ =
1
Roots are always represented by
x = a #
Factors are always represented by
( x ± #)
How do you find where a function is undefined?
Set the denominator = to zero
What do you need when dealing with rational (fraction) equations or complex fractions?
The LCD!!
What is the first method of factoring you should always look for?
GCF
How do you find the inverse of a function?
Switch x and y!
What mode should your calculator be in throughout the exam?
Degree!!
What is the only time your calculator will not be in degree mode?
When graphing sine or cosine!
Arithmetic Sequences
Are found by adding or subtracting terms (LINEAR)
Geometric Sequences
Are found by multiplying or dividing terms (EXPONENTIAL)
How do you know when it is a recursive formula?
When it starts with A₁
What mode should your calculator be in throughout the exam?
Degree!!
How do you know when to do the Rainbow factoring method?
When a > 1
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