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Please show work. This is a graded assignment. Everything you need is in the files below. thank you

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Please show work. This is a graded assignment. Everything you need is in the files below. thank you

Unit 2 Project
Complete parts ac for each quadratic function.
a. Find the yintercept, the equation of the axis of symmetry, and the
xcoordinates of the vertex.
b. Make a table of values that includes the vertex.
c. Use the information to graph the function.
1.
2.
f(x) = 3x2 + 8x
f(x) = 2x2 + 7x + 1
Determine whether each function has a maximum or minimum
value. State the maximum or minimum value of each function.
3.
4.
f(x) = x2 + 6x + 9
f(x) = x2 + 4x
5.
Write a quadratic equation with roots 3 and 4 in standard form.
Solve each quadratic equation using the method of your choice.
Find exact solutions.
6.
7.
8.
1.6x2 3.2x + 18 = 0
10x2 + 3x = 1
x2 + 8x 48 = 0
Simplify the expression.
9.
10.
(5 2i) (8 11i)
(14 5i)2
Write each equation in vertex form. Then identify the vertex, axis of
symmetry, and direction of opening.
11.
12.
y = x2 + 10x + 27
y = 9x2 + 54x 8
Graph each inequality.
13.
14.
(x 5)(x + 7) < 0
5x2 + x + 2 < 0
Find the exact solution to the system of equations. Check your
answer algebraically.
15.
16.
y = x2 6x + 1
y + 2x = 6
2x2 4x = y + 1
x+y=1
Algebra 2 All Classes
Student Name:
CATEGORY
Mathematical
Concepts
________________________________________
Average
Explanation shows
some understanding
of the mathematical
concepts needed to
solve the problem(s).
Problems may be
completed correctly;
work is not always
clearly shown; very
little
Some graphs are
shown; may have
errors on graphs
Poor
Explanation shows
very limited
understanding of the
underlying concepts
needed to solve the
Problems do not show
work and/or are
incorrect
Mathematical Errors 90-100% of the steps Almost all (85-89%) of
and solutions have no the steps and
mathematical errors. solutions have no
mathematical errors.
Most (75-84%) of the
steps and solutions
have no mathematical
errors.
More than 75% of the
steps and solutions
have mathematical
errors.
Neatness and
Organization
The work is presented
in an organized
fashion but may be
hard to read at times.
The work appears
sloppy and
unorganized. It is hard
to know what
information goes
Completion
Diagrams and
Sketches
Outstanding
Explanation shows
complete
understanding of the
mathematical
concepts used to
All problems are
completed correctly;
work is clearly shown;
answers are
checked/confirmed
All graphs are
correctly shown
The work is presented
in a neat, clear,
organized fashion that
is easy to read.
Excellent
Explanation shows
substantial
understanding of the
mathematical
concepts used to
Problems are
competed correctly;
work is clearly shown;
very little
checking/confirmatio
All graphs are shown;
may have errors on
graphs
The work is presented
in a neat and
organized fashion that
is usually easy to read.
Not all graphs are
shown; may have
errors on graphs
Date Created: Aug 24, 2015 10:22 am (CDT)

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Goes above and beyond expectations!