MATH 133 Unit 2 Individual Project A / math133 unit 2 IP ver A - 41892

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Typing hint: Type x2 as x^2 (shift 6 on the keyboard will give ^)

1) Solve the following quadratic equation by factoring:

a) x^2 – 6x – 27 = 0

b) Solve the quadratic equation 3x^2 + 2x – 16 = 0 using the quadratic formula.

symbols, such as the square root.

2) Use the graph of y = x2 + 4x - 5 to answer the following:

Graph….

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

equation, x^2 + 4x - 5 = 0, using only the graph.

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

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

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

3) The profit function for Wannamaker Trophies is P(x) = -0.4x^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.

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

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.

d) What is the maximum profit?

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.

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