Factored/Intercept Form
Quadratic Functions
Parent:
f(x)=a(x-m)(x-n)
Roots
Find roots and write in
coordinate form
Maximum
or
Minimum?
Min.
+a
opens up
Max.
-a
opens down
/ ! = (! + 3)(! − 1)
AOS
!=
#+%
2
Vertex
Plug in AOS for xvalue to find the yvalue
Y-Intercept
Plug x=0 into
equation and
solve for the yvalue.
Write answer in
coordinate form.
Domain
Write as
(−∞, ∞)
Range
maximum
(−∞, ,./01231!]
If vertex is a
minimum:
[,./01231!, ∞)
1
ℎ(! ) = (! + 2)(! − 4)
2
x-intercepts:
vertex:
axis of symmetry:
y-intercept:
opens:
max or min:
domain:
range:
/ (! ) = −2(! − 3)(! + 1)
x-intercepts:
vertex:
axis of symmetry:
y-intercept:
opens:
max or min:
domain:
range:
3. Write the equation of a
graph in intercept form. Given
the x-intercepts: (7, 0) & (1,0)
and minimum point (4,-10).
5. Use the graph provide to write the
equation in intercept form. Fill in the
chart with the important information.
4. Write the equation of a
graph in intercept form. Given
only one x-intercept (2, 0) and
a point (0,6).
x-intercepts:
vertex:
axis of symmetry:
y-intercept:
opens:
max or min:
domain:
range: