Quadratic
Polynomial Functions
When you are done with this
section, you will be able to do the following
- Sketch the graph of a quadratic function (parabola) and identify
the vertex and intercepts both algebraically and graphically.
- Write a quadratic function in standard form.
- Find the equation of a quadratic function given the vertex and a
point on the graph.
- Solve real-life problems involving
quadratic functions
General Quadratic Functions On-line Notes:
Additional Quadratic
Functions
On-line Resources:
Applications of
Quadratic On-line Notes:
Additional Applications of Quadratic Functions
On-line
Resources:
Quadratic Polynomial
Functions Homework:
The
Quadratic Polynomial Functions Homework contains 7 problems.
Things to remember:
- There are two ways to algebraically
find the vertex of a quadratic function -- completing the square and
using the formula.
- When you are asked to find the maximum
value of a quadratic function, you are being asked for the y-value
of the vertex.
- When being asked to find the quadratic
function with given the vertex and a point on the graph, you use the
vertex to start the process. You use the point on the graph to
find out the value of the leading coefficient a in the vertex
form of the equation.
- Intercepts are points and must be
written as ordered pairs (x-intercepts
look like (x, 0) and y-intercepts look like (0, y)).
- When solving problem 6, draw a picture
and remember that the area of a rectangle is found by multiplying the
length and the width.
- The quadratic regression problem
(Homework_10-also-recommended problem 5) will
require your calculator. Click here
for information about how to use your graphing calculator.
Homework examples:
also-recommended Homework examples:
Keep in mind that it is recommended that you
also complete all the
problems in the set called "also
recommended" with the same number as the Quadratic Polynomial Functions
Homework. There
are
many different ways to ask the same questions. This will allow
you to see additional problems that are related to this topic.
© 2005 Elizabeth E. K. Jones and the ASU Department of
Mathematics and Statistics - All rights reserved.