Quench the Quadratic
These are the solutions to the quadratic equation
x2-8x-12=0.
What are x=6 and x=2?
These are the solutions to the quadratic equation
(2x+16)(5x-3)=0.
What are x=-8 and x=3/5?
These are the solutions to the quadratic equation
x2=16.
What are x=4 and x=-4?
This is the highest point of a parabola; also called a vertex.
What is a maximum?
The value of a stock is represented by the equation S(t)=t2-6t+13, where t is the number of days after the stock has been purchased. What is the value at time t=0?
The value of the stock is $13.
These are the solutions to the quadratic equation
2x2-5x+3=0.
What are x=1.5 and x=1?
These are the solutions to the quadratic equation
x2+7x-8.
What are x=-8 and x=1?
These are the solutions to the quadratic equation
x2-36=0
What are x=6 and x=-6?
This is the y-intercept of the function
8x2+4x-5=2.
What is (0,-7)?
You hit a baseball in the air. The height, h, in feet of the baseball t seconds after it's hit is modeled by the function h(t)=-16t2+96t+4. Find the maximum height of the ball.
138 feet
These are the solutions to the quadratic equation
x2-64=0.
What are x=8 and x=-8?
These are the solutions to the quadratic equation
x2-10x+21=0.
What are x=7 and x=3?
These are the solutions to the quadratic equation
7x2-28=0.
What are x=2 and x=-2?
This is the axis of symmetry for the function
3x2+18x-11=0.
What is x=-3?
An airline sells a 3-day vacation package. Sales from this vacation package can be modeled by the quadratic function s(p)=-40p2+32000p. Sales are dependent on the price, p, of the package. If the price is set too high, the package won't sell, but if the price is too low, prospective buyers will think it is a scam. At what price, p, does the company have the greatest revenue?
$400
These are the solutions to the quadratic equation
-2x2+6x+8=0.
What are x=1 and x=4?
These are the solutions to the quadratic equation
8x2+12x=0.
What are x=0 and x=-3/2?
These are the solutions to the quadratic equation
5x2-125=0.
What are x=5 and x=-5?
This is the vertex of the function
y=-3x2+12x-8
What is (2, 4)?
Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t)=-16t2+16t+480, where t is the time in seconds and h is the height in feet. How long did it take Jason to reach his maximum height?
0.5 seconds
These are the solutions to the quadratic equation
-11x2+7x-49=-13x2.
What are x=-1 and x=-3?
These are the solutions to the quadratic equation
2x2-11=-9x.
What are x=11/2 and x=1?
These are the solutions to the quadratic equation
(x+9)2=36.
What are x=-3 and x=-15?
These are the x-intercepts of the function
y=9x2-27x-10.
What are (10/3, 0) and (-1/3, 0)?
Marsha three her math book off a 30-foot building. The path of the book can be modeled by the equation h(t)=-16t2+24t+30, where h is the height in feet after t seconds. At what time does Marsha's math book hit the ground?
2.311 seconds