Transformations of Quadratic Functions Section 2.1 beginning on page 48.
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Transcript of Transformations of Quadratic Functions Section 2.1 beginning on page 48.
Transformations of Quadratic Functions
Section 2.1 beginning on page 48.
The Big IdeasIn this section we will learn about….
• Describing transformations of quadratic functions (extension of section 1.2)
o Translations (horizontal and vertical)o Reflections (in the x-axis and the y-axis)o Stretches and Shrinks (horizontal and vertical)
• Writing transformations of quadratic functions.
o NEW: Writing transformed quadratic functions in vertex form. o Writing transformed quadratic functions, applying transformations one at
a time. (extension of section 1.2)
Core Vocabulary
Previously Learned:
• Transformations
New Vocabulary:
• Quadratic Function• Parabola• Vertex of a Parabola• Vertex Form
Quadratic FunctionsA quadratic function is a function that can be written in the form where .
The U-shaped graph of a quadratic function is called a parabola.
In the previous chapter we graphed quadratic functions using tables of values. In this section we will learn to graph quadratic functions using the transformations to the parent function .
(Why can’t a=0 ? )
Translations
Describe each transformation:
1) 2) 3) 4)
Translation 4 units left
Translation 3 units right
Translation 1 unit up Translation 2 units down
Translations
Reflections
Stretches and Shrinks
Transformations of Quadratic Functions
Vertex Form** This is new and important, put this in your notes **
Writing a Transformed Quadratic Function
This is a new technique
This is a previously learned technique
New: Method 1
Writing a Transformed Quadratic Function
Lets work this step out
Practice
(From example 5: )