Quadratic Functions and Transformations

Michael Bailey, Oct 29, 2015

Table of Contents

  1. The Parent Quadratic Function
    1. Quadratic Function
    2. The Parent Quadratic Function
  2. Transformations
    1. Vertical Translations
    2. Horizontal Translations
    3. Vertical Stretches, Compressions, and Reflections
    4. Vertex form of a Quadratic Equation

1.

The Parent Quadratic Function

  • 1. Quadratic Function
  • 2. The Parent Quadratic Function

1.1.

Quadratic Function

This chapter deals with quadratic functions. The most basic quadratic function is [math]f\left(x\right)=x^2[/math]. In this section we, will be looking at graphical transformations of this parent function.[br][br]Let's begin with what the parent function looks like.
– Michael Bailey

1.2.

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2.

Transformations

  • 1. Vertical Translations
  • 2. Horizontal Translations
  • 3. Vertical Stretches, Compressions, and Reflections
  • 4. Vertex form of a Quadratic Equation

2.1.

Vertical Translations

Adding or subtraction at the end of a function shifts all points on the graph up or down.
– Michael Bailey

2.2.

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2.3.

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2.4.

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Information