 ```QUADRATIC FUNCTION
BASICS
Standard form
Vertex form
Min or Max
Zeros
Axis of Symmetry
Domain
Range
y-intercept
Shape of Graph
! &quot; = 2&quot; % − 8&quot; + 6
BASICS-Example
Standard form
Vertex form
Min or Max
Zeros
Axis of Symmetry
Domain
Range
y-intercept
Shape of Graph
! &quot; = *&quot; % + +&quot; + ,
! &quot; = *(&quot; − ℎ)% + 0
vertex is (ℎ, 0)
Min if * &gt; 0, Max if * &lt; 0, located at &quot; = 56
78
Let ! &quot; = 0, solve. Quadratic formula,
complete the square, or factor
&quot;=ℎ
all the reals
9≥0
BASICS
0, ! 0 or (0, ,)
;*&lt;*+=&gt;*
Standard form
Vertex form
Min or Max
Zeros
Axis of Symmetry
Domain
Range
y-intercept
Shape of Graph
! &quot; = 2&quot; % − 8&quot; + 6
! &quot; = 2(&quot; − 2)% − 2, vertex at (2, −2)
&quot; = 2, [email protected]@?B?
&quot;=2
&quot;∈ℝ
9 ≥ −2
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
```