Applications Of Quadratic Functions Worksheet With Answers - Math 1314, Ch 3.1

3.1 Quadratic Functions

A quadratic function is a second degree polynomial function that can written in the general form

0 and downward

The graph of a quadratic function is a parabola that opens upward if

The turning point on the graph of a parabola is called the parabola’s vertex. If the graph of the

function opens upward then the function has a minimum value. If the graph of the function

opens downward, then the function has a maximum value.

The equation of a quadratic function in standard form is

The graph is a parabola with vertex

Example 1. State the vertex for the graph of each quadratic function.

Function

Vetrex

3, ,4

1, 5

2,0

0,1

To graph a quadratic function, plot at least two points to the left of the vertex and two points to

the right of the vertex.

Examples: Find the vertex, axis of symmetry, the function’s extreme value, and the domain and

range. Graph the function.

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