Chapter 4 Notes Packet On Quadratic Functions And Factoring Worksheet With Answers - Algebra 2 Page 5

y = a(x − p)(x − q):
GRAPH OF INTERCEPT FORM
Characteristics of the graph y = a(x
p)(x
q):
The x-intercepts are ___ and ___.
The axis of symmetry is halfway between (___, 0) and ( ___ , 0)
and it has equation x =
2
The graph opens up if a ___ 0 and opens down if a ___ 0.
16.) Graph y =
2( x
1)( x
5)
y
10
9
8
7
6
5
4
3
2
1
x
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7 8 9 10
-1
-2
-3
-4
-5
x -intercepts: _______, _______
-6
-7
-8
-9
Vertex: _______
-10
Converting between forms:
(
)(
)
= −
+
From intercept form to standard form
Ex:
y
2
x
5
x
8
Use FOIL to multiply the binomials
together
Distribute the coefficient to all 3 terms
( )
(
)
From vertex form to standard form
=
2
+
Ex:
f x
4
x
1
9
Re-write the squared term as the
product of two binomials
Use FOIL to multiply the binomials
together
Distribute the coefficient to all 3 terms
HW #15: Pg. 202: 47-63 odd
pg. 240 #3-39 x 6’s
pg. 249 #4-40 x 4’s
5