Graphing Parabolas Functions Worksheet
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1UNIT 2 WORKSHEET 10
GRAPHING PARABOLAS WITH TABLES
Graph each of the following parabolas using a table.
b
b
−
−
Step 1 - Find the vertex of the parabola using
,
f
2
a
2
a
Step 2 - Set up a table choosing 2 x values less, and 2 x values greater than the x value of the vertex.
(
)
=
+
−
− − .
2
For example: the vertex of the parabola
y
x
2
x
2
is found to be
1, 3
Set up your table as:
Then pick your two numbers
y
y
x
x
greater and two numbers less than
−
3
the x value of the vertex.
−
2
−
−
−
−
3
3
1
1
0
1
Complete the table and graph your parabola on graph paper. Be sure to label the points on the graph.
=
+
−
= −
−
−
= −
+
−
2
2
2
1.
y
x
2
x
2
2.
y
x
6
x
5
3.
y
x
6
x
4
=
−
+
=
−
=
−
+
2
2
2
4.
y
x
4
x
1
5.
y
x
4
x
6.
y
3
x
18
x
8
1
=
−
+
=
−
+
= −
+
−
2
2
2
7.
y
2
x
12
x
14
8.
y
x
4
x
4
9.
y
4
x
24
x
30
2
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