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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