Solving Quadratic Equations Graphically Worksheet
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1UNIT 2 WORKSHEET 11
SOLVING QUADRATIC EQUATIONS GRAPHICALLY
−
+
= , you can solve for x by graphing both
2
When faced with an equations such as
x
10
x
23 7
=
−
+
y =
2
y
x
10
x
23
and
7
on the same plane. Just find where the two graphs intersect and you will solve for
x. Note in the example at the bottom, once both functions are graphed on the same plane, you can see the value
=
−
+
x =
x = . That means the solutions of the equation are
2
of the function
y
x
10
x
23
is 7 when
2
and
8
x =
x = .
2
and
8
y =
=
−
+
=
−
+
y =
2
2
7
y
x
10
x
23
y
x
10
x
23
and
7
Solve each of the following by graphing.
+
− =
−
−
− = −
−
+
− =
2
2
2
1.
x
2
x
2 13
2.
x
6
x
5
12
3.
x
6
x
4 1
−
+ =
−
=
−
+ =
2
2
2
4.
x
4
x
1 6
5.
x
4
x
0
6.
3
x
18
x
8 8
1
−
+
−
= −
−
+ =
−
+
=
2
2
2
7.
2
x
12
x
14
4
8.
x
4
x
4 4
9.
4
x
24
x
30 10
2
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