Centre for Distance Learning and Innovation

Outcomes

In this lesson you will

Create a quadratic function given the vertex and at least one other point on the parabola.
Create the quadratic by translating and reflecting the basic quadratic function.
Create the quadratic by substituting known coordinates in the transformational form of the quadratic function.

By the end of this section you should be able to:

Analyze and describe the characteristics of quadratic functions.
Solve problems involving quadratic equations.
Analyze scatter plots, and determine and apply the equations for curves of best fit, using appropriate technology.
Describe and translate between graphical, tabular, written, and symbolic representations of quadratic relationships.
Demonstrate an understanding of the relationships that exist between arithmetic operations and operations used when solving equations.
Translate between different forms of quadratic equations.
Describe and interpret domains and ranges using set notation.
Demonstrate an understanding of how parameter changes affect the graphs of quadratic functions.

To be successful in this lesson, it would be helpful to know the following:

The general form of a quadratic function.
The standard form of a quadratic function.
The vertex of a parabola.
The concept of maximum and minimum values of a quadratic function.
How to graph a quadratic function using technology.
How to find the equation of the curve of best fit.
How to substitute values into a function and manipulate the resulting expression.