Paper Topic:

College Algabra

MTH133

Unit 2 - Individual Project - A

Name

1 ) Solve the following by factoring Answer

Show your work here ( x 2 (x - 8 0

x -2 , x 8 Answer

Show your work here

6x (x 7 0

x 0 , x -7 , find

a ) f (2

Answer

Show your work here

f (2 (2 )^2 - 4 (2 ) - 1 -1

b ) f (-1

Answer

Show your work here

f (-1 2 (-1 )^2 - 4 (-1 ) -1 5

3 ) Solve 6x2 3x - 18 0

using the quadratic formula

Answer

Show your work here

x -b - ?b^2 - 4ac

2a

x -3 - ?3^2 - 4 (6 (-18

2 (6

x -3 - ?9 432

12

x -3 - 21 / 12

x 1 .5 , x -2

4 ) Use the graph of y x2 4x - 5 to answer the following Answer

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

Points (-5 , 0 ) and (1 ,0 ) 0r x -5 and x 1 b ) Does this function have a maximum or a minimum

Answer

Explain how you obtained your answer by looking at the graph

Minimum , because the parabola opens upward

c ) What are the coordinates of the vertex in (x , y ) form

Answer (-2 , -9

d ) What is the equation of the line of symmetry for this graph

Answer : x -2

5

Answer

Show your work here

d b^2 - 4ac

d 4^2 - 4 (1 (4

d 0

have ? Why

Answer

since d 0 , there is only one possible solution for the equation , which means that there will only be one x-intercept in the graph of the equation

Answer (fill in y column

x y

- 4 5

- 3 0

- 2 -3

- 1 -4

0 -3

1 0

2 5 Show your work here

Values for Y (-4 )^2 2 (-4 ) - 3 5 (-3 )^2 2 (-3 ) - 3 0 (-2 ) ^2 2 (-2 ) - 3 -3 (-1 ) ^2 2 (-1 ) - 3 -4 (0 )^2 2 (0 ) - 3 -3 (1 )^2 2 (1 ) - 3 0 (2 )^2 2 (2 ) - 3 5

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

Graph

represents the initial height

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 : s -16t^2 32t 40

b ) How high is the rock after 0 .5 seconds Answer

Show your work here : s -16 .5 )^2 32 .5 40

s -16 .25 16 40

s -4 16 40

s 52 ft c ) After how many seconds will the rock reach maximum height Answer

Show your work here : the time elapsed when the rock reach its maximum height is given by the equation t -b /2a

t -32 / 2 (-16

t 1

After 1 sec , the rock will reach its maximum point d ) What is the maximum height

Answer

Show your...

2 pages

51.0 KB

Free sing-up