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Pascal’s triangle
Binomial theorem
is a formula used to expand expressions of the form (a+b)^n = x(a)^n(b)^0 + x(a)^n-1(b)^1…+ x(a)^0(b)^n. X is the values from the triangle, and n is the degree.
Vertical translation
g(x) = f(x) + k
Horizontal translation
g(x) = f(x+h)
Vertical dilation
g(x) = af(x)
Horizontal dilation
g(x) = f(bx) , by a factor of |1/b| units