principles of analytic geometry

90

MATH133-1302A-01 College Algebra
Assignment Name:	Unit 2 Individual Project
Deliverable Length:	1 page
Details:	Instructions: Save Time On Research and Writing Hire a Pro to Write You a 100% Plagiarism-Free Paper. Get My Paper Download your individual project. Fill out the answer form and submit to your instructor. Click here to download your individual project.Click here to download your individual project answer form. Please submit your assignment. For assistance with your assignment, please use your text, Web resources, and all course materials. Save Time On Research and Writing Hire a Pro to Write You a 100% Plagiarism-Free Paper. Get My Paper Course Materials
Points Possible:
Date Due:	Sunday, May 12, 2013
Objective:	Apply principles of analytic geometry.Solve equations, such as linear, quadratic, radical, rational, exponential and logarithmic.Graph functions such as linear, quadratic, radical, rational, exponential and logarithmic.
Submitted Files:	Submit Assignment
Score:	N/A

Student Answer and Work Form Unit 2 Ver. A

Student Name (required): ____________________________________

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Name:__________________________________________________

MATH133 Unit 2 Individual Project A

Typing hint: Type x

2
as x^2 (shift 6 on the keyboard will give ^)

1) Solve the following quadratic equation by factoring:

a) 0276
2

 xx

Answers:
Show your work here:

b) Solve the quadratic equation 3x

2
+ 2x – 16 = 0 using the quadratic formula.

Read the information in the assignment list to learn more about how to type math
symbols, such as the square root.

Answers:
Show your work here:

2) Use the graph of y = x

2
+ 4x – 5 to answer the following:

a) Without solving the equation or factoring, determine the solution(s) to the

equation, 054
2

 xx , using only the graph.

Answer:
Explain how you obtained your answer(s) by looking at the graph in a brief sentence:

b) Does this function have a maximum or a minimum?

Answer:
Explain how you obtained your answer by looking at the graph in a brief sentence::

c) What are the coordinates of the vertex in (x, y) form?
Answer:

d) What is the equation of the line of symmetry for this parabola?
Answer:

3) The profit function for Wannamaker Trophies is P(x) = -0.4×2 + fx – m, where f
represents the design fee for a customer’s awards and m represents the monthly office
rent. Also, P represents the monthly profit in dollars of the small business where x is
the number of awards designed in that month.

a) If $80 is charged for a design fee, and the monthly studio rent is $1,600; write an
equation for the profit, P, in terms of x.

Typing hint: Type x-squared as x^2

Answer:

b) How much is the profit when 50 award designs are sold in a month?

Answer:
Show your work here:

c) How many award designs must be sold in order to maximize the profit? Show
your work algebraically. Trial and error is not an appropriate method of solution –
use methods taught in class.

Answer:
Show your work here:

d) What is the maximum profit?

Answer:
Show your work here:

4) Graph the equation on the graph by completing the table and plotting the points.
You may use Excel or another web-based graphing utility.

a) y = x

2
– 6x

Use the values of x provided in the table to find the y values.

x y

0

1

2

3

4

5

6

b) Place your graph here.