# APEX Chapter 3 Quadratic Functions

Teacher's Guide  |  PDF

Published on 2014 October 9th

Description
In this chapter, we'll expand our exploration of functions and relationships to include non-linear functions: quadratic functions
Objective
At the end of Chapter 3, the learners should be able to demonstrate knowledge and skills related to quadratic functions and apply it to business and industry.
Specifically they should be able to:
1. identify quadratic function f(x) = ax2 + b x + c;
2. rewrite a quadratic function ax2 + bx + c in the form f(x) = a(x-h)2 + k and vice versa;
3. determine the highest or lowest point (vertex), axis of symmetry and direction of opening of the graph given a quadratic function;
4. draw the graph of a quadratic function using the:
? vertex
? axis of symmetry
? direction of opening of the graph
? given points
5. analyze the effects on the graph of changes in a, h and k in f(x) in
(f(x) = a(x-h)2+k;
6. determine the zeroes of a quadratic equation? by relating this to ? roots of a quadratic equation?;
7. find the roots of a quadratic equation by factoring, quadratic formula and completing the square;
8. derive a quadratic function given zeroes of the function, table of values and graph;
9. solve problems involving quadratic functions and equations.