Mth 112 Chapter 2 Practice Test Problems Worksheet With Answers
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12MTH 112 Chapter 2 Practice Test Problems
Divide and express the result in standard form.
Find the coordinates of the vertex for the parabola defined by
6
the given quadratic function.
1)
5 - i
7) f(x) = (x - 2) 2 - 2
5i
8) f(x) = (x + 3) 2 + 4
2)
2 - i
9) f(x) = (x + 8) 2 - 5
7 - 6i
3)
6 + 5i
10) f(x) = x 2 - 5
The graph of a quadratic function is given. Determine the
11) f(x) = -x 2 + 2x + 5
functionʹs equation.
4)
y
y
Find the axis of symmetry of the parabola defined by the
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given quadratic function.
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8
12) f(x) = (x + 7) 2 - 3
6
6
4
4
2
2
13) f(x) = 11(x - 3) 2 + 4
x
x
-10 -8 -6 -4 -2
-10 -8 -6 -4 -2
2 4 6 8 10
2 4 6 8 10
-2
-2
-4
-4
14) f(x) = x 2 - 14x - 1
-6
-6
-8
-8
-10
-10
Find the range of the quadratic function.
15) f(x) = (x + 1) 2 - 3
5)
16) f(x) = x 2 - 4x + 5
y
y
10
10
8
8
Find the x-intercepts (if any) for the graph of the quadratic
6
6
function.
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4
17) f(x) = x 2 - 4
2
2
x
x
-10 -8 -6 -4 -2
-10 -8 -6 -4 -2
2 4 6 8 10
2 4 6 8 10
-2
-2
18) y + 1 = (x - 1) 2
-4
-4
-6
-6
19) f(x) = x 2 + 10x + 14
-8
-8
-10
-10
Find the y-intercept for the graph of the quadratic function.
20) y + 1 = (x - 1) 2
6)
y
y
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10
21) f(x) = 3x 2 - 5x - 8
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8
6
6
Find the domain and range of the quadratic function whose
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4
graph is described.
2
2
22) The vertex is (-1, -4) and the graph opens up.
x
x
-10 -8 -6 -4 -2
-10 -8 -6 -4 -2
2 4 6 8 10
2 4 6 8 10
-2
-2
-4
-4
23) The vertex is (1, -6) and the graph opens down.
-6
-6
-8
-8
-10
-10
24) The maximum is -6 at x = 1
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