vertex form
y=a(x-h)^2+k
y=a(x-h)^2+k
(h,k) = (x,y)
a = opens up
-a = opens down
distance formula
d=(sr(x2-x1)^2 + (y2-y1)^2)
quadratic formula
y=(-b+(sr b^2-4ac))/2a
exponential growth/decay
y=a(1+-r)^x
y=a(1+-r)^x
r=rate as decimal
a=initial
Simple interest
A=Prt
A=Prt
P=initial
r=interest rate (decimal)
t=time
Compound interest
A=P(1+(r/n))^nt
A=P(1+(r/n))^nt
P=initial
r=interest rate
t=time
n=times interest compounds in 1t
equilateral triangle
A=((sr3)/4)s^2
A=((sr3)/4)s^2
A=area
S=side length
Circle equation
(x-h)^2+(y-k)^2=r^2
(x-h)^2+(y-k)^2=r^2
(h,k) = center of circle
r=radius
regular polygon interior angle
((n-2)180)/n
((n-2)180)/n
n=number of sides
arc length
(central angle/360)pi d
sector area
(central angle/360)/pi r^2
mean
average
median
middle most
mode
most often