Mat 1101 Test Worksheet With Answer Key, 2010
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1
2Test 4
MAT 1101
Spring 2010
Name ______________________
This test is take-home, so you may use your notes, book, Excel, MathGV, etc. This test is due back to me
at the beginning of class on Thursday, June 3, 2010. Late tests will not be accepted. Don’t forget to
simplify all of your answers and attach your work!
2
1. Find the vertices of the functions:
2. Graph the following function: f(x) = –2x
+ 12x – 13
2
a) f(x) = 5x
– 20x + 17
x
y
(2, –3)
1
-3
2
3
3
5
4
3
2
b) f(x) = 3.7(x – 8.1)
+ 2.3
5
-3
(8.1, 2.3)
2
2
3. Solve for x, if possible: 2(x
– 6x) = –12
4. Graph the following function: f(x) = (x + 2)
– 6
x
y
-4 -2
-3 -5
x ≈ 4.73205, 1.267949
-2 -6
-1 -5
0
-2
5. Given the graph of the quadratic equation at the right, find:
a) the vertex of the equation _____(–1, –8)_______
b) f(0) = ___–6___
c) the x-intercepts of the equation __(-3, 0)__, __(1, 0)__
2
d) the equation of the parabola _y = 2(x + 1)
– 8 __
x
y
6. Find the equation of the parabola that has a vertex
7. Find the equation of the parabola
-3
11
of (2, –4) and passes though the point (1, –1).
that fits the given data.
-2
-1
-1
-5
2
2
y = 3(x – 2)
– 4
y = 4(x + 1)
– 5
0
-1
1
11
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