Name:

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 6×2 + 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, use the graph to determine the solution(s) to the equation ?

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)
xy
– 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?

Answer:
Show your work here:

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

Answer:
Show your work here:

d)What is the maximum height?

Answer:
Show your work here:

Attachments:

u2ips_a.doc