Learning Resources
Overview
In this unit you will be introduced to the properties of arithmetic and power sequences. You will use common differences between successive terms in a sequence to identify and distinguish between these types of sequences. You will use regression and other techniques to identify a rule used to generate a given sequence. Particular emphasis is placed on examining sequences generated by quadratic functions.
In this unit, your work on quadratics from previous courses will be extended. You will use the technique of completing the square to change the general form 
into the transformational form 
. You will use the transformational form of the quadratic function to determine the vertex, the equation of the line of symmetry, and the minimum or maximum point of the parabola described by the quadratic function.
Also in this unit you will derive and apply the quadratic formula and use the discriminant to determine whether the corresponding quadratic equation obtained by setting 
has two different real roots, two real roots which are equal (also known as a double real root), or no real roots (also known as two complex roots).
This unit should take you about 20 hours to complete.