axis of symmetrya line of symmetry for a graph—it divides a figure or graph into halves that are the mirror images of each other
coefficienta number that multiplies a variable
completing the square

the process of changing a polynomial of the form  into a perfect square trinomial , or

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

functiona kind of relation in which one variable uniquely determines the value of another variable
intercept form of a quadratic equation

written as y = a(xp)(xq), where the x-intercepts are p and q

linear functiona function with a constant rate of change and a straight line graph
nonlinear functiona function with a variable rate of change that graphs as a curved line
parabolaa 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  ; it is used to solve a quadratic equation of the form

quadratic function

a function of the form y = ax2 + bx + c where a is not equal to zero

rangethe 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 , where x and y are variables and a, b, and c are numbers with a ≠ 0. In the case of a single variable the standard form becomes ax2 + bx + c = 0.

system of equationsa set of two or more equations that share two or more unknowns
trinomiala three-term polynomial
vertexthe 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 http://www.nrocproto.org/texttabs/vertexformofaquadraticequation_files/image001.gif, where x and y are variables and a, h, and k are numbers – the vertex of this parabola has the coordinates (h, k)

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