Math 3.2 - Quadratic Functions

Vertex Form of a Quadratic Function

Another name for the standard form of a quadratic function.

Domain, Range

The _____ of a quadratic function is all real numbers. The _____ varies with the function.

Y Axis

The axis of symmetry is the vertical line passing through the vertex. The zeros, or x intercepts, are the points at which the parabola crosses the x axis. The y intercept is the point at which the parabola crosses the...

Standard Form of a Quadratic Function

The function that describes a parabola, written in the form f(x)=a(x−h)^2+k, where (h, k) is the vertex.

General Form of a Quadratic Function

The function that describes a parabola, written in the form f(x)=ax^2+bx+c, where a,b, and c are real numbers and a≠0.

Either Up or Down

The graph of a quadratic function is a parabola. A parabola is a U-shaped curve that can open...

Revenue

The minimum or maximum value of a quadratic function can be used to determine the range of the function and to solve many kinds of real-world problems, including problems involving area and revenue.

Vertex

The point at which a parabola changes direction, corresponding to the minimum or maximum value of the quadratic function.

Quadratic Function

The vertex can be found from an equation representing a...

True

True or False: Some quadratic equations must be solved by using the quadratic formula.

The Quadratic Formula

x=(-b+ or - sqrt(b^2-4ac)) / 2a.

Axis of Symmetry

A vertical line drawn through the vertex of a parabola around which the parabola is symmetric; it is defined by x=−b / 2a.

The Vertex & the Intercepts

...can be identified and interpreted to solve real-world problems.

Two

A polynomial function of degree _____ is called a quadratic function.

Y Value

A quadratic function's minimum or maximum value is given by the _____ of the vertex.

Zeros

In a given function, the values of x at which y=0, also called roots.

General Form

Quadratic functions are often written in _____. Standard or vertex form is useful to easily identify the vertex of a parabola. Either form can be written from a graph.