More Lessons for Intermediate Algebra or Algebra II lessons
A series of free, online Intermediate Algebra Lessons or Algebra II lessons.
Videos, worksheets, and activities to help Algebra students.
In this lesson, we will learn
- how to graph polynomials
- how to transform polynomial graphs
Basic Polynomial Graphs
Graphing higher degree polynomial functions can be more complicated than graphing linear and quadratic functions. Polynomial graphs can be graphs of functions where the degree of the highest term is greater than one. When we graph polynomials with varying degrees it is easier to identify the end behavior, shape and turning points.
Review Graphs of Quadratics
Exploring Quadratic Graphs
Graphing Quadratic Equations
This video provides and example of how to graph a cubic or degree 3 polynomial function by completing a table of values.
Graphing cubic functions with the help of a calculator
How we identify the end behavior of a polynomial functions.
Here we learn to sketch the curve of a polynomial function without the aid of a graphing calculator. Also, no calculus methods will be used.
This video shows how to graph y = -5x4
and we learn about "bouncing" x intercepts.
When graphing polynomials, basic transformations occur when a graph either shifts along the x-axis or y-axis and/or dilates. When graphing transformations, a dilation occurs when the "a" term value is changed. Dilations cause the parabola to either open a different direction or change shape. A shift occurs when a graph doesn't change shape but moves along the x or y axis.
Review Transformation of Quadratic Graphs
Vertical and Horizontal Shifts of Quadratic Graphs
Dilations of Quadratic Graphs
How to graph a Transformation of a Cubic Function
Transformation of polynomial functions
A quick lesson on transformations with polynomial functions.
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.