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 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.
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
x 2 ? 4x ? 5 ? 0 , using only the graph.
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?
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.
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 –
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 = x2 – 6x
Use the values of x provided in the table to find the y values.
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