QUADRATIC FUNCTION
BASICS
Standard form
Vertex form
Min or Max
Zeros
Axis of Symmetry
Domain
Range
y-intercept
Shape of Graph
! " = 2" % − 8" + 6
QUADRATIC FUNCTION
BASICS-Example
Standard form
Vertex form
Min or Max
Zeros
Axis of Symmetry
Domain
Range
y-intercept
Shape of Graph
! " = *" % + +" + ,
! " = *(" − ℎ)% + 0
vertex is (ℎ, 0)
Min if * > 0, Max if * < 0, located at " = 56
78
Let ! " = 0, solve. Quadratic formula,
complete the square, or factor
"=ℎ
all the reals
9≥0
QUADRATIC FUNCTION
BASICS
0, ! 0 or (0, ,)
;*<*+=>*
Standard form
Vertex form
Min or Max
Zeros
Axis of Symmetry
Domain
Range
y-intercept
Shape of Graph
! " = 2" % − 8" + 6
! " = 2(" − 2)% − 2, vertex at (2, −2)
" = 2, ?@A@?B?
1,0 *AD (3,0)
"=2
"∈ℝ
9 ≥ −2
QUADRATIC FUNCTION
BASICS-Example
(0,6)
parabola, skinnier and
shifted down and right
Standard form
Vertex form
Min or Max
Zeros
Axis of Symmetry
Domain
Range
y-intercept
Shape of Graph
Samples
$ Students can color-code
$ Flaps can be left together or
cut apart.
$ Fits inside a composition
notebook.
$ All photos copyright Lisa M.
Dollar
$ Graphs are screencapped
from www.desmos.com