HELP

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) = -0.4x2 + 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.