pure Flashcards
how do you identify quadratics in disguise
if it can be written in the form ax2 + Bx +C =0
how many roots does b2-4ac < 0
no roots
how many roots does b2-4ac = 0
1 root
how many roots does b2- 4ac > 0
2 roots
what is the discriminant
b2-4ac
what is a polynomial
an expression that can contain constants, terms, variables and exponents and has a finite number of terms
what does the factor theorem states
it states that if f(x) is a polynomial then
if f(p) = 0 then (x-p) is a factor of f(x)
if (x-p) is a factor of f(x), then f(p) = 0
what is cos theta
the x angle
what is sin theta
the y angle
which direction does f(x+h) shift to
left by h units
which direction does f(x-h) shift to
shifts right by h
which direction does f(x)+k
shift up k units
which direction does f(x)-k
shifts down by k units
a (fx), a > 1 shifts to
stretchs vertically by a factor of a
a f(x), 0 < a < 1 shifts to
compresses by vertically by a factor of 1/a
