Ch 2 Flashcards
vertex form of a quadratic formula
f(x) = a(x-h)^2 + k
standard form of a quadratic formula
f(x) = ax^2 + bx + c
axis of symmetry in standard form
x = -b/a
vertex in standard form eq
(-b/2a, f(-b/2a))
y-int in a standard form eq
(0,c)
when does the parabola opens up in a standard form eq
a > 0
when does the parabola opens down in a standard form eq
a < 0
in an a > 0 graph, does it have a max value or a min value?
max value f(-b/2a)
in an a < 0 graph, does it have a max value or a min value?
min value f(-b/2a)
intercept form of a quadratic formula
f(x) = a(x-p) (x-q)
axis of symmetry in intercept form
x = p+q /2
standard eq of parabola at origin when x=0
y = 1/4p * y^2
standard eq of parabola at origin when y=0
x = 1/4p * y^2
what is the focus always on?
line of symmetry
where is the directrix on parabola at x=0
y = -p