Test 4 Mat 1101 Functions And Equations Worksheet With Answer Key - 2010
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1
2Test 4
MAT 1101
Summer 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 Tuesday, September 7, 2010. Late tests will not be accepted. Don’t forget to
simplify all of your answers and attach all of your work!
2
1. Find the vertices of the functions:
2. Graph the following function: f(x) = 2x
– 8x + 5
2
a) f(x) = 3x
– 18x – 16
x
y
(3, –43)
0
5
1
–1
2
–3
3
–1
2
b) f(x) = –4.9(x + 3.4)
+ 11.1
4
5
(–3.4, 11.1)
See graph
2
3. Solve for x, if possible: x(3x – 11) = –7
4. Graph the following function: f(x) = – (x – 4)
+ 3
x
y
6
–1
5
2
x ≈ 2.8471 ; x ≈ 0.8195
4
3
3
2
2
–1
See graph
5. Given the graph of the quadratic equation at the right, find:
a) the vertex of the equation _____(5, –4)_________
b) f(4) = __–1__
c) the x-intercepts of the equation __6.155_, __3.845__
(Round to thousandths, if necessary.)
2
d) the equation of the parabola ___y = 3(x – 5)
– 4 __
x
y
6. Find the equation of the parabola that has a vertex
7. Find the equation of the parabola
4
5
of (1, 2) and passes though the point (0, –5).
that fits the given data.
5
3.5
6
3
1
2
2
y = –7(x – 1)
+ 2
y =
(x – 6)
+ 3
7
3.5
2
8
5
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