MATH133 Unit 2 Individual Project A
Typing hint: Type x2 as x^2 (shift 6 on the keyboard will give ^)
1) Solve the following quadratic equation by factoring:
a) 6 27 0 2 x ? x ? ?
Answers:
Show your work here:
b) Solve the quadratic equation 3×2 + 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 = x2 + 4x – 5 to answer the following:
a) Without solving the equation or factoring, determine the solution(s) to the
equation, 4 5 0 2 x ? x ? ? , 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 = x2 – 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.
