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TEAMS 2nd THE ROOTS Rebecca Kelly Montana Diamond Ahja THE INTERCEPTS Anthony Gracia Luis Brenda Dany THE SOLUTIONS THE MAXSTHE PARABOLAS Shemiah Daniqua Derrick Phillip Jared Nathan Destiny Donelle Kayla Patrick Madisyn Darren Kristen Berenice Trevon Theo
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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!!!!
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