1) Solve the following by factoring; find the solutions, factoring alone is not the objective of the problems:

a)

b)

2) If , find:

a) f(2)

b) f(-3)

3) Solve using the quadratic formula.

4) Use the graph of to answer the following:

a) Without solving the equation, or factoring, determine the solution(s) to the equation using only the graph.

b) Which 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 graph?

5) a) Calculate the value of the discriminant of .

b) By examining the sign of the discriminant in part a, how many x-intercepts would the graph of have? Why?

6) a) Find the corresponding y values for x= -2, -1, 0, 1, 2, 3 if .

x y
-2
-1
0
1
2
3

Show your work here: (type x-squared as x^2 unless using a superscript feature).

b) Use Microsoft Excel or another web-based graphing utility to plot the points found in part a and to sketch the graph. Read the information in the assignments list to learn more about how to graph in MS Excel.

7) The path of a falling object is given by the function where represents the initial velocity in ft/sec and represents the initial height in feet.

a) If a rock is thrown upward with an initial velocity of 64 feet per second from the top of a 25-foot building, write the height (s) equation using this information.

Typing hint: Type t-squared as t^2

b) How high is the rock after 1 second?

c) After how many seconds will the graph reach maximum height?

d) What is the maximum height?

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