Precalc 11 3.1 Investigating Quadratic Functions in Vertex Form.notebookFebruary 04, 2016
Precalculus 11
Chapter 3
Quadratic Functions
3.1 Investigating Quadratic Functions in Vertex Form
A. Read
Precalc 11 3.1 Investigating Quadratic Functions in Vertex Form.notebookFebruary 04, 2016
What is a function?
Functions are a special type of relationship that defines how a set of inputs matches a set of outputs so that each input is related to only one output.
Notation: read as: f of x is equal to ...
Precalc 11 3.1 Investigating Quadratic Functions in Vertex Form.notebookFebruary 04, 2016
Polynomial functions are the subset of functions that are defined as follows:
Next year we will explore the idea of a polynomial function. For now we will continue to focus on a specific type of polynomial.
Precalc 11 3.1 Investigating Quadratic Functions in Vertex Form.notebookFebruary 04, 2016
The quadratic:
Quadratics have a very distinct shape that is refered to as the parabola or parabolic shape.
Precalc 11 3.1 Investigating Quadratic Functions in Vertex Form.notebookFebruary 04, 2016
The vertex of a parabola is the specific point that is the minimum y­value for a parabola that opens upward, or the maximum y­value for a parabola that opens downward. Graphically you have probably noticed the symmetry that a parabola has. The parabolic is symmetric about the axis of symmetry which will be stated with an equation x=a.
Precalc 11 3.1 Investigating Quadratic Functions in Vertex Form.notebookFebruary 04, 2016
Vertex form for a parabola is written as:
This is a transformational form that allows us to relate the current parabola to the basic y = x2 very quickly.
Precalc 11 3.1 Investigating Quadratic Functions in Vertex Form.notebookFebruary 04, 2016
Let's explore:
What does a do?
What does p do?
What does q do?