Unit 9 Quadratic Functions
Domain of a Quadratic Equation
All Real Numbers, because the legs of the parabola continue to move outward, left and right, for infinity.
Range of a Quadratic Equation
An inequality that states the movement of the parabola up or down the y-axis.
Quadratic Function
Any function that can be written in the form y=ax^2+bx+c, where a, b, and c are all real numbers and a does not equal 0.
Maximum
On a parabola that opens downward, the y-coordinate of the vertex is called the...
Minimum
On a parabola that opens upward, the y-coordinate of the vertex is called the...
Ways to name the Solutions of a Quadratic Function.
Solutions, Zeros of a Function, Roots of a Function, x-Intercepts.
Parabola
The graph of a quadratic function.
Vertex
The highest or lowest point on a parabola.
Graph of a Quadratic Function with TWO SOLUTIONS.
The legs of the parabola both cross over the x-Axis.
Graph of a Quadratic Function with NO SOLUTION.
The parabola does not cross over the x-Axis.
Parent Function
The simplest function in a family; all functions in the family are transformations of it.
Graph of a Quadratic Function with ONE SOLUTION.
The vertex of the parabola is the only point on the graph that touches the x-Axis.
Axis of Symmetry
The vertical line that divides the parabola in half.
Solution
The x-intercept(s) of the quadratic equation
Zero of a Function
The x-value that makes the function equal to zero. It is the same as the x-intercept of a function.
Quadratic Parent Function
y = x^2; it is a u shape on the origin of the coordinate plane
Roots
X-intercepts, solutions or zeros of a quadratic function are also called...
Possible Types of Solutions to a Quadratic Function
3 Possible Types of Solutions: NO SOLUTION, ONE SOLUTION, or TWO SOLUTIONS
Downward-opening parabola
When the "a" value is negative.
Upward-opening parabola
When the "a" value is positive