| axis of symmetry | a line of symmetry for a graph—it divides a figure or graph into halves that are the mirror images of each other |
| coefficient | a number that multiplies a variable |
| completing the square | the process of changing a polynomial of the form |
| discriminant | the expression b2 – 4ac under the radical in the quadratic formula; the expression can be used to determine the number of real roots the quadratic equation has |
| function | a kind of relation in which one variable uniquely determines the value of another variable |
| intercept form of a quadratic equation | written as y = a(x – p)(x – q), where the x-intercepts are p and q |
| linear function | a function with a constant rate of change and a straight line graph |
| nonlinear function | a function with a variable rate of change that graphs as a curved line |
| parabola | a U-shaped graph which is produced by a quadratic equation |
| perfect square | any of the squares of the integers. Since 12 = 1, 22 = 4, 32 = 9, etc., 1, 4, and 9 are perfect squares |
| polynomial | a monomial or sum of monomials, like 4x2 + 3x – 10 |
| polynomial functions | a monomial or sum of monomials, like y = 4x2 + 3x – 10 |
| quadratic equation | an equation that can be written in the form ax2 + bx + c = 0 where a ¹ 0. When written as y = ax2 + bx + c the expression becomes a quadratic function. |
| quadratic formula | the formula |
| quadratic function | a function of the form y = ax2 + bx + c where a is not equal to zero |
| range | the set of all possible outputs of a function |
| roots of a quadratic equation | the x-intercepts of the parabola or the solution of the equation |
| standard form of a quadratic equation | written as |
| system of equations | a set of two or more equations that share two or more unknowns |
| trinomial | a three-term polynomial |
| vertex | the high point or low point of a parabolic function |
| vertex form of a quadratic equation | when the quadratic equation is a quadratic function, the vertex form is |
| x-intercept | the point where a line meets or crosses the x-axis |
| Zero Product Property | states that if ab = 0, then either a = 0 or b = 0, or both a and b are 0 |