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Linear Function
Y=mx+b
Factored form of a quadratic (finding x)
y+a(x-p)(x-h)
Zero product property
If (x=a)(x+b)(x+c)=0 then x+a=0, x+b=0, x+c=0
Exponential function
y=ab^x (a=y-intercept) (b=growth/decay factor)
Exponential function with shifts
y=ab^(x-h)+k (y=k is HA)
Percent growth
y=a(1+r)^x. (r=(%/100)
Percent decay
y=a(1-r)^x. (r=(%/100)
Compound Interest
y=a(1+(r/n)^nt
continuous growth
y=ae^rt
Change of base formula
logbY=(logy/logb)
Exponential and Logarithmic Inverse relationship
b^x=y - logbY=x
Rational function
y=(a/x-h)+k
Shifts
af(x-h)+k (a=stretch/compression) (h= horizontalo shift) (k=vertical shift)
x-intercept
input y=0 and solve for x