Posted by **Nicole** on Sunday, January 25, 2009 at 11:45pm.

1) Solve the following by factoring:

a)

Answer:

Show your work here:

b)

Answer:

Show your work here:

2) If , find

a) f(2)

Answer:

Show your work here:

b) f(-1)

Answer:

Show your work here:

3) Solve 6x2 + 3x – 18 = 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.

Answer:

Show your work here:

4) 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, , using only the graph.

Answer:

Explain how you obtained your answer(s) by looking at the graph:

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

Answer:

Explain how you obtained your answer by looking at the graph:

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 graph?

Answer:

5)

a) Calculate the value of the discriminant of .

Answer:

Show your work here:

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

Answer:

6) a) Find the corresponding y values for x = -4, -3, -2, -1, 0, 1, 2 if .

Answer (fill in y column)

x y

- 4

- 3

- 2

- 1

0

1

2

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

b) Use Microsoft Excel to plot the points found in part a and to sketch the graph.

Read the information in the assignment list to learn more about how to graph in MS Excel.

Graph:

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. The variable t is time in seconds, and s is the height of the object in feet.

a) If a rock is thrown upward with an initial velocity of 32 feet per second from the top of a 40-foot building, write the height equation using this information.

Typing hint: Type t-squared as t^2.

Answer:

b) How high is the rock after 0.5 seconds? Show all work.

Answer:

Show your work here:

c) After how many seconds will the rock reach maximum height? Show all work.

Answer:

Show your work here:

d) What is the maximum height? Show all work.

Answer:

Show your work here:

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