Quadratic Graphs And The Quadratic Formula Worksheet

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Quadratic Graphs and the Quadratic Formula
2
b
±
b
4
ac
Given the quadratic formula
x
=
, we can find the x-intercepts of
2
a
quadratic equations that would otherwise be close to impossible to find by factoring
2
alone. For example, examine the equation
0
=
x
+
4
x
+
2
. Using the quadratic formula,
we get the following:
2
4
4
4
1 (
)(
) 2
±
4
16
8
4
8
±
±
x
=
=
=
2
) 1 (
2
2
We’ll estimate the value of 8 as approximately 2.828, so
4 ±
. 2
828
x
therefore
2
4
. 2
828
. 1
172
+
x
. 0
586
or
=
=
2
2
4
. 2
828
. 6
828
x
=
=
. 3
414
2
2
Find the x- and y-intercepts of the following quadratic equations. Check your answer
on MathGV.
2
2
1.
2
3
5
2.
3
6
y
=
x
x
y
=
x
+
x
+
2
2
3.
4
2
3
4.
5
3
1
y
=
x
+
x
y
=
x
x
+

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