Quadratic Functions

Quadratic Function

a function that can be written in the form f(x)=ax^2+bx+c, where a, b & c are real numbers and a is not equal to zero

Parabola

a plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the curve

Parent Function

the most basic function of a family of functions, or the original function before a transformation is applied

Vertex

the point of intersection of lines or the point opposite the base of a figure

Axis Of Symmetry

A line that divides a figure in half so that each half is the mirror image of the other

Minimum Value

The lowest point of a parabola (when a>0)

Maximum Value

The highest point of a parabola ( when a<0)

Intercept Form

y=a(x-p)(x-q)

Quadratic Equation

ax² + bx + c = 0

x-intercept

x coordinate of a point where a graph crosses the x axis/ y coordinate of this point is zero

Square Root

√(xy) = √x · √y, a number that when multiplied by itself equals a given number

Zero Of a Function

a value of x that makes the function's value zero

Roots

the solutions to a quadratic equation

Perfect Square

a square of a whole number

Linear Function

a function in which the graph of the solutions forms a line

Exponential Function

a function in which an independent variable appears as an exponent

Discriminant

b²-4ac

Perfect Square Trinomial

a trinomial in the form a²+2ab+b² or a²+2ab+b²

Axis of symmetry (mathematically)

X = - b/2a

vertex has a x-coordinate of

X = - b/2a, (X,Y)