Lesson 1.3: Transformations on the graph of the function

Learning Goals:

By the end of this lesson I will be able to :

• Explain how partially factoring f(x) = 3x – 6x + 5 into the form f(x) = 3x(x – 2) + 5. [A2.2]*

• Determine the number of zeros of a quadratic function, using a variety of strategies. [A2.1]*

• determine, through investigation, the transformational relationship among the family of quadratic functions that have the same zeros, and determine the algebraic representation of a quadratic function, given the real roots of the corresponding quadratic equation and a point on the function [A2.4]*

*The learning goals descriptions are taken and reworded/simplified from Ontario Curriculum booklet. Codes inside the brackets refer to the sections of Ontario Curriculum Document.

Success Criteria:

1. How can we factor a quadratic equation in a standard form?

2. Why do we have to learn how to factor?

Time: 3 hours