Vocab Chapter 9
By: Jai Patel
Parabola
- A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.
Quadratic
Involving the second and no higher power of an unknown quantity or variable.
Vertex
- Each angular point of a polygon, polyhedron, or other figure.
Axis of symmetry
A line of symmetry for a graph. The two sides of a graph on either side of the axis of symmetry look like mirror images of each other.
Maximum value
The maximum value of a quadratic function f(x) = ax2 + bx + c where a < 0, is the y- coordinate of the vertex.
Example The maximum of {14, 4, 16, 12} is 16.
Minimum value
The minimum value of a quadratic function f(x) = ax2 + bx + c where a > 0, is the y- coordinate of the vertex.
Example The minimum of {14, 4, 16, 12} is 4.
Terms
- Each of the quantities in a ratio, series, or mathematical expression.
First differences
First Differences So basically, in a real question, you would know your x variable and y and then, what you do to find a first difference is subtract. First you find all the numbers on the 'y' side and subtract by subtracting the bottom number below the first number in the 'y' column.
Second differences
Calculate the first 6 terms of the sequence defined by the quadratic formula, then simply to four terms then 3 terms.
zeros(roots)
Where a function equals the value zero (0).
Example: -2 and 2 are the zeros of the function x2 - 4