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Algebra 2 Regents Review
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Gravity
Terms in this set (42)
Factoring the sum of 2 perfect cubes
(a+b)(a^2-ab+b^2)
Factoring the difference of 2 perfect cubes
(a-b)(a^2+ab+b^2)
Average Rate of Change (slope)
y2-y1/x2-x1
exponential growth
A=P(1+r)^t
exponential decay
A=P(1-r)^t
compound interest
A=P(1+r/n)^nt
"n" in the compound interest formula
number of times compounded per year
compounded continuously
A=Pe^rt
Half life
A=P(1/2)^t/h
recursive formula
A1, An=An-1(r)
Axis of symmetry
x=-b/2a
vertex form
y=a(x-h)^2+k
vertex when in vertex form
(h,k)
center radius form
(x-h)^2 + (y-k) = r^2
center in the radius form
(h,k)
radius in the radius form
square root of r^2
focus and directrix y formula
y=1/4p (x-h)^2 +k
focus and directrix y formula directions
if 1/4p is positive parabula opens up like a U, if negative, like an upside down u
focus and directrix x formula
x= 1/4p (y-k)^2 + h
focus and directrix x formula directions
if 1/4p is positive, the U goes to the right, if negative, to the left
if f(x) = f(-x), then f is
even, symmetric to the y axis
if f(-x) = -f(x), then
f is odd, symmetric to the origin
If b^2-4ac < 0, then
the roots are imaginary
if b^2-4ac = 0, then
the roots are real, rational and equal
if b^2 -4ac > 0, then
the roots are real and unequal
the radius of a unit circle is
1
arc length formula
s=r(theta)
s in the arc length formula
arc length
theta in the arc length formula
the angle in radians
r in the arc length formula
radius
pythagorean identity
sin²θ + cos²θ = 1
csc
1/sin
sec
1/cos
cot
1/tan
sin function formula
y=asinbx
cos function formula
y=cosbx
P(A I B)
P(A and B)/P(B)
P(A or B)=
P(A)+P(B)-P(A and B)
Independence test
If P(A and B)= P(A) x P(B), they are independent
If P(A and B) = 0, it is
mutually exclusive
margin of error formula
(p(1-p)/n)
z score formula
actual score-mean/standard deviation
;