dgree 1 and come cubic funcs can have
xero turning points
degree can only be
same or more than
number of turning points cannot be more than
one less than the number of roots
y intercept in factored
y=a(x-p)(x-q)
y int=apq
vertex form
y=a(x-h)^2+k
finding “a” factor
pick a point, input to equation, solve for a
to make a second equation
factor or expand
parabolas/quad funcs can be
written different way
standard
y=ax^2+bx+c
a is vertical stretch/shrink
c is y int
vertex (-b/2a, f(-b/2a))
aos -b/2a
vertex
y=a(x-h)^2+k
vertex (h,k)
aox x=h
a is vertical stretch/shrink
factored/intercept
y=a(x-p)(y-q)
p and q are x ints/zeros
a is vertical stretch/shrink
a>0
point up, oppisite point down
from standard to factor
just facrote
if passes thru (1,0) next to vertex
no stretch or shrink
in factored form still include
a
advantage of each from
vertex shows transforms
standard gives y int
factored gives x int
vertex in factored
finding x cord add zeros together and divide by two
finding y cord input x and solve
solve with cord for
a value always
use middle value
then count form line for aos
when given a vertex use
vertex and dont forget a
when given points and finding equation
solve for a
positive negative signs dont switch for
factored
h in terms of p and q
h=p+q/2
c in terms of a, h, and k
c=ah^2+k
