Properties of Quadratics
Maxima and Minima
Solving Quadratic Equations Part I
Solving Quadratic Equations Part II
Word Problems
100
This is the shape of a quadratic function.
What is a parabola?
100
On a quadratic function, this is the point that will be the maximum or minimum of the function.
What is the vertex?
100
This is another name (or synonym) for a root, a solution, or an x-intercept.
What is a zero?
100
The solutions to (2x-5)(x+7)=0 using the zero product property.
What is x = -7 and
5/2
100
The height of a pop fly ball over the time after the ball is hit is modeled by the function,
h(t) = -16t2 + 81t + 5, where h is the ball's height in feet above the ground and t is the time in seconds after the ball is hit. What does 5 represent?
What is 5 feet above the ground before the ball is hit?
200
It is the function that can be represented in the form of f (x) = ax2 + bx + c.
What is a quadratic function?
200
It is the lowest point on this graph.
What is a minimum?
200
It is represented by the expression b2 - 4ac.
What is the discriminant?
200
The solutions to x2 - 19x = 0.
What is x = 0, 19?
200
Robby and his friend, Sal, are at the top of a lookout tower. Sal dares Robby to drop one of his favorite Jordans from the top of the 250 feet tall platform. The height h of the shoe in feet after t seconds is modeled by the function h(t) = -16t2 + 250. The time, in seconds, it takes for the shoe to reach the ground.
What is 3.95 seconds?
300
You would use this property if you wanted to know the quadratic function's x-intercepts.
What is the zero product property?
300
For the function x2 + 5x + 4, the vertex point will be this. (Do not calculate, min/max?)
What is a minimum?
300
The number of real solutions for the equation
2x2 - 10x - 12 = 0.
What are 2 real solutions?
300
The solutions to x2 = 14x - 45.
What is x = 9 and 5?
300
Juan is trying to find the roots for the quadratic function f(x) = x2 + 64. The solutions to the function.
What is no real solutions?
400
You would use this property as an inverse to an equation that is being squared.
What is the square root property?
400
It is the vertex point for the function x2 + 6x + 6.
What is (-3, -3)?
400
The solutions to the equation 2x2 + 5x + 3 = 0?
What are
x = -3/2
and x = -1?
400
The first step in solving (x + 4)2 = 25.
What is the square root of 25?
400
A pelican flies to the ground and lands, only to be scared away by a group of tourists. The pelican's motion can be described by the equation h(t) = 9t2 - 24t + 16, where t represents time in minutes and h(t) represents the pelican's height. The time the pelican will land on the ground.
What 1.33 minutes?
500
The name of the line that divides a quadratic function exactly in half and its formula.
What is the line (or axis) of symmetry and
x = -b/(2a)
?
500
A ball moves along the line h(t) = -5t2 +30t+1.5, where h is in meters and t is in seconds. What is the maximum height the ball can reach?
What is 46.5 m?
500
The solution to the equation x2 - 7x + 13.
What is no real solution?
500
The solutions to 3x2 + 23x + 40 = 0 rounded to the nearest hundredth when using the quadratic formula.
What is x = -5 and -2.67
500
The area of a rectangle is 18r2 - 27r - 35 square inches. The width is 3r - 7 inches. The expression that represents the length in inches.
What is 6r + 5?