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Properties of Quadratics
Solving by Graphing or Factoring
Completing the Square
Vocabulary
Exponential Growth/Decay
100
Find the vertex for f(x) = x^2 -4x + 3.
What is (2,-1)?
100
Find the roots of x^2 -25 by graphing. SHOW YOUR GRAPH!
What are -5 and 5?
100
Solve by completing the square. x^2 - 6x = 40
What are -4 and 10?
100
The values of the variables that make an equation true.
What are the roots?
100
John invests $2000.00 into an account that pays 2% compounded quarterly. What will his account be worth in five years?
What is $2209.79
200
Find the vertex and axis of symmetry for y= -x^2 + 2x - 1
What is What is (1,0) and x = 1?
200
Find the roots of x^2 + 10x + 25. SHOW YOUR GRAPH!
What is -5?
200
Solve by completing the square. x^2 + 18x = 15
What is -9 plus or minus the square root of 96. If anyone guesses -9 +/- 4 radical 6, give them double the points!
200
The value of the x that makes the f(x) = 0
What is/are the zeroes?
200
Iphone sales have increased at a rate of 12% since 2008. If there were 2,000,000 Iphones sold in 2008, how many are expected to be sold in 2012? (Round to the nearest Iphone)
What is 3,147,039
300
Find the maximum or minimum for y = -16 x^2 + 32 x + 4
What is a maximum of 20?
300
Find the roots of x^2 + 5x =24 (graph or factor)
What are -8 and 3?
300
Solve by completing the square. x^2 + 14x = 8
What are -7 +/- the square root of 57.
300
the y-value of the vertex of a parabola when it opens upward
What is the minimum?
300
Mr. How found a special account to invest in. It only pays 1.2%, but it compounds daily. If he invests $5,000, how much will he have in 10 years?
What is $5637.47?
400
State the domain and range of f(x) = 6x - x^2
What is domain is all real numbers and range is all numbers less than 9.
400
Find the roots of 9x^2 = 25.
What are - 5/3 and 5/3?
400
Solve by completing the square. x^2 = 27 - 6x
What are 3 and -9?
400
The property possessed by all parabolae.
What is symmetry?
400
A hillside in Malibu is eroding at a rate of 3.5% per year. If it is currently 425 ft. tall, how tall will it be in 2025?
What is 258.09 feet?
500
A ball is hit into the air from a height of 4 feet. The function g(t) = -16t^2 + 20t + 4 can be used to model the height of the ball where t is the time in seconds after the ball is hit. Find the maximum height the ball reaches.
What is 229 feet?
500
Find the roots of 2x^2 + 18 x + 28.
What are -7 and -2?
500
Solve by completing the square. 3x^2 - 24x = 27 (a hint: you can multiply so your first term is a perfect square)
What are 9 and -1?
500
The portion of the quadratic formula that determines the number of roots of a quadratic equation.
What is the discriminant?
500
The fun you are having grows exponentially every minute you play this game by 15%. Assuming you will have played this game for 30 minutes and your fun level was initially 5, what will it be when you leave? (Round to the nearest whole)
What is 331? (That's a lot of fun!)