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Unit 2 ReviewFebruary 25th, 2014

TEAMS 4th THE ROOTS

• AlmaS• Morgan• Guery• Sunny• Jason• Joseph

THE INTERCEPTS

• Justice• Symon• Tyrajah• Janee• Jazmine• Amber

THE SOLUTIONS

THE MAXS THE PARABOLAS

• Dagim• Labria• Kathya• Melene• Jordan• Ahmad

• Allona• Maria A• Leigha• Noah• Omar• Brooke

• Miya• Maria C• Rhayne• Daron• Thomas• Naiya

TEAMS 2ndTHE ROOTS

• Rebecca• Kelly• Montana• Diamond• Ahja

THE INTERCEPTS

• Anthony• Gracia• Luis• Brenda• Dany

THE SOLUTIONS

THE MAXS THE PARABOLAS

• Shemiah• Daniqua• Derrick• Phillip• Jared

• Nathan• Destiny• Donelle• Kayla • Patrick

• Madisyn• Darren• Kristen• Berenice• Trevon• Theo

Homework Questions

•How it works!

• 1 pt for getting the question right

• Group can choose between 1, 2, or 3 pointer shot

• Each team member must shoot before repeating

How many solutions if y = ax2 + bx + c …a) does not intersect the x-axis _______b) intersects twice ________c) touches once _______

#1

#2

•Solve the following using the square root method:

437)3( 2 x

Solve and approximate solutions to the nearest hundredth (three decimal places) using any method.   y = 5x2 – 6x + 1

#3

What quadratic equation are you solving using this formula? Find the original equation.

 

#4

A rocket is shot in the air. The height in feet reached over time in seconds is given by the function f(x) = -2x2 + 28x + 175.  a)What is the height of the rocket 10 seconds after take-off?   b)What was the initial height of the rocket?   c)After how many seconds will the rocket hit the ground?

#5

John hit a baseball into the air with an initial upward velocity of 35 feet per second.  The height h in feet of the ball above the ground can be modeled by h = –16t² + 35t + 2, where t is the time in seconds after John hit the baseball.     a) What is the maximum height that the softball reaches? _______________feet  b) How long does it take for the ball to reach that height? _______________seconds

#6

Solve the systems of equations

#7

y = - x2 + 2.5 y = -0.9x +7

Solve the systems of equations

#8

y = 2x + 3y = -x2 + 5

Find the quadratic equation given the points:

(-2, 30) (-1, 14) (0,4) (1,0) (3,10)

#9

If the vertex of a parabola is (9, -3), what is the equation of the axis of symmetry?

#10

Find the intervals where increasing and decreasing:

#11

Solve the following equation using the quadratic formula:  

#12

103 2 xx

Using the quadratic function as represented in the graph below,

identify the vertex and the roots .

#13

Maximum or Minimum? What is the min/max value?

#14

872 xx

#15

What values for x make this equation true? (5x - 7)(x + 3) = 0

#16

Given the value of the discriminant, determine the number of real roots/solutions the quadratic function will have. 

If the discriminant = -12, then the number of real roots = _______

 If the discriminant = 12, then the number of real roots = _______

 If the discriminant = 0, then the number of real roots = _____

#17

Error Analysis: Circle the error in this problem and explain how to fix the error. STEP 1: 10x2 + 4x = 14STEP 2: 2x(5x + 2) = 14STEP 3: x = 0 or 5x + 2 = 0SOLUTIONS: x = 0 or x = -2/5

#18

Solve by factoring:  

x2 + 10x = -9

#19

What are the intervals for increasing and decreasing?

#20

The populations of two cities are modeled by the equations shown below. The population (in thousands) is represented by y and the number of years since 1970 is represented by x. Baskinville: y = x2 – 22x + 350 Cryersport: y = 55x – 950

a) What year(s) did the cities have the same population?

b) What was the population of both cities during the year(s) of equal population?

#21

#22

Solve by quadratic formula:  x2 + 3x – 8 = 0

#23

HOMEWORK• Do each question WITHOUT looking at

the answer…• Check the answers!• Use your notes/quizzes to figure out

what you did wrong!• Study!!!! STUDY!!! STUDY!!!!