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Properties of Quadratics
Maxima and Minima
Solving Quadratic Equations
Linear-Quadratic Systems
Families of Quadratic Functions
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 for a root, or an x-intercept.
What is a zero?
100
This term describes the point where two or more lines meet.
What is an intersection?
100
It is a group of functions that have the same x-intercepts.
What is a family of quadratic functions?
200
It is the general formula for the vertex form of a quadratic function
What is y = a(x - h)2 + k?
200
We can use this form of the quadratic function to easily identify the function's maximum or minimum.
What is vertex form?
200
It is represented by the expression b2 - 4ac.
What is the discriminant?
200
This is the number of intersection points a linear-quadratic system will have if the discriminant is equal to 0.
What is 1 intersection point?
200
The easiest way to represent a family of quadratic functions is to write the function using form (hint: it's not standard form).
What is factored form?
300
You would use this form of a quadratic function if you wanted to know the function's x-intercepts.
What is factored form?
300
For the function x + 5x + 4, the vertex point will be this.
What is a minimum?
300
The solutions for the equation 2x2 - 10x - 12 = 0.
What are x = 6 and x = -1?
300
These are the intersection points between the functions y = x + 1 and y = x2 - 2x - 3.
What are (-1, 0) and (4, 5)?
300
It is the equation of a family of quadratic functions that have x-intercepts of 3 and 2.
What is y = a(x-2)(x-3)?
400
It is the type of function represented by the following data: x| -2 | -1 | 0 | 1 | 2| y| 10 | 13| 16| 19| 22|
What is a linear function?
400
It is the vertex point for the function x + 6x + 6.
What is (-3, -3)?
400
The solution to the equation 2x2 + 5x + 3 = 0?
What are x = -3/2 and x = -1?
400
These are the intersection points between the functions y = 4x - 3 and y = x2 + 2x - 2.
What is (1, 1)?
400
We need to know these things in order to determine the exact equation of a quadratic function.
What are the x-intercepts and a point?
500
The name of the line that divides a quadratic function exactly in half.
What is the line (or axis) of symmetry?
500

A ball moves along the line

h(x)=-5t^2+30t+1.5

, where h is in metres and t is in seconds. What is the maximum height the ball can reach?

What is 9.3 m?

500
The solution to the equation x2 - 7x + 13.
What is no solution?
500
These are the intersection points between the functions y = -2x + 3 and y = -2x2 + 3x - 1.
What is no solution?
500
A quadratic function that has x-intercepts of -4 and 1, and has a y-intercept of -8 would have this equation.
What is y = 2(x + 4)(x - 1)?