Quadratic Functions Worksheet - Unit #4 & 5 Review
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7MPM2D
Unit #4 & 5 Review
Quadratic Functions
Quadratic Functions Review
Converting between Forms
Convert the quadratic function below to factored and vertex form.
a)
d)
2
2
y
x
6
x
8
y
2
x
4
x
b)
e)
2
2
y
x
6
x
y
x
4
x
c)
f)
2
2
y
2
x
4
x
5
y
x
4
x
4
Convert the quadratic function below to standard form.
a)
d)
2
2
y
2(
x
3
)
4
y
3(
x
3)
b)
e)
y
(
x
4)(
x
3)
y
3(
x
1)(
x
2)
c)
f)
2
y
(
x
6)
1
y
3(2
x
1)(
x
2)
Solving Quadratic Equations by Factoring
Solve by factoring
a)
b)
x
2
2
x
7
12
0
2
x
3
5
x
1
2
x
4
x
c)
d)
x
2
3
x
5
0
2
6
3
2
2
x
4
x
a)
b)
x
3
0
2
4
10
Solving by the Quadratic Formula
All quadratic equations can be solved using the Quadratic Formula.
For a quadratic equation in the form
, the quadratic formula is
2
ax
bx
c
, 0
a
0
written as follows:
2
b
b
4
ac
x
2
a
Note: is read as “plus or minus” and means
2
2
b
b
4
ac
b
b
4
ac
OR
x
x
2
a
2
a
a)
f)
x
2
2
3
x
5
2
0
x
3
0
b)
.
g)
x
2
2
x
3
1
4
x
3
x
h)
c)
x
2
2
. 0
25
x
2
3 .
0
3
x
6
i)
d)
x
2
3
x
1
x
4
2
x
5
x
2
4
x
0
e)
x
2
x
2
3
0
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