# Maths - Algebra

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MTH133

Unit 2 - Individual Project - A

Name:

1) Solve the following by factoring ...

2) If , find

a) f(2)

b) f(-1)

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.

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.

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

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

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

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 .

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?

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.

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

Show your work here:

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

Show your work here:

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

Show your work here:

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