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

Without graphing the quadratic functions, complete the requested information:
=
+
2
5
5.)
f x
( ) 3
x
7
x
1
= −
+ −
2
6.)
g x
( )
x
x
3
4
What is the direction of opening? _______
What is the direction of opening? _______
Is the vertex a max or min? _______
Is the vertex a max or min? _______
2
2
Wider or narrower than y = x
? ___________
Wider or narrower than y = x
? __________
= −
+
2
2
8.)
y
0.6
x
4.3
x
9.1
=
2
7.)
y
x
11
3
What is the direction of opening? _______
What is the direction of opening? _______
Is the vertex a max or min? _______
Is the vertex a max or min? _______
2
2
Wider or narrower than y = x
? __________
Wider or narrower than y = x
? ___________
2
The parabola y = x
is graphed to the right.
Note its vertex (___, ___) and its width.
You will be asked to compare other parabolas to
this graph.
=
+
+ ): we need to find the vertex first.
2
C. Graphing in STANDARD FORM (
y
ax
bx c
Vertex
Graphing
- list a = ____, b = ____, c = ____
- put the vertex you found in the center of
b
- find x =
- choose 2 x-values less than and 2 x-values more
2
a
- plug this x-value into the function (table)
- plug in these x values to get 4 more points.
- this point (___, ___) is the vertex of the parabola
- graph all 5 points
Find the vertex of each parabola. Graph the function and find the requested information
2
9.) f(x)= -x
+ 2x + 3 a = ____, b = ____, c = ____
y
10
9
8
7
6
5
4
3
Vertex: _______
2
1
Max or min? _______
x
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7 8 9 10
-1
Direction of opening? _______
-2
-3
Axis of symmetry: ________
-4
-5
2
Compare to the graph of y = x
-6
-7
_________________________
-8
-9
-10
2