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1) Solve the following by factoring:

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) Using the graph, what are the solution(s) to the equation ?

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 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 to plot the points found in part a and to sketch the 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 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?

##### Solution Summary

Quadratic equation problems are solved. These equations are solved by factoring. The solution is detailed and well presented.

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Understanding of how geometry applies to in real-world contexts

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