Math D
Review for Test #4 Chapters 8 and 9
Solve the equation by the square root property. If
possible, simplify radicals or rationalize denominators.
Express imaginary solutions in the form a
+
bi.
1)
2x
2
=
72
2)
(x
+
2)
2
=
14
3)
(x

3)
2
= 
64
4)
x

3
2
2
=
49
4
Solve the quadratic equation by completing the square.
5)
x
2

2x

15
=
0
6)
x
2
+
5x

5
=
0
7)
x
2
+
x
+
3
=
0
8)
x
2

3
7
x

10
49
=
0
Use the quadratic formula to solve the equation.
9)
x
2

3x

40
=
0
10)
x
2
+
5x
+
1
=
0
11)
8x
2

5x
+
2
=
0
12)
16x
2
+
1
=
7x
The graph of a quadratic function is given. Determine the
function's equation.
13)
Sketch the graph of the quadratic function. Give the vertex
and axis of symmetry.
14)
y
+
4
=
(x

2)
2
15)
f(x)
=
9

(x
+
3)
2
1
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Sketch the graph of the quadratic function. Identify the
vertex, intercepts, and the equation for the axis of
symmetry.
16)
f(x)
=
10
+
7x
+
x
2
17)
f(x)
= 
3x
2

12x

15
Determine whether the given quadratic function has a
minimum value or maximum value. Then find the
minimum or maximum value and determine where it
occurs.
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 Spring '08
 Staff
 Math, Radicals, Quadratic equation, Natural logarithm, Logarithm

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