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INTRODUCTION TO TRANSFORMATIONS
Objectives: Identify Parent FunctionsRecognize Types of Transformations
PARENT FUNCTIONS
Parent Function- A function that generates a family of functions.
COMMON TYPES OF PARENT FUNCTIONS
More Parent Function Types
Even More Parent Functions
TRANSFORMATIONS
Transformations- A change in the position and/or size of a figure or graph.
A "transformation” of a parent function preserves the parent function’s structure.There are 3 types of transformations:
1) Translation
2) Reflection 3) Stretch
There are 3 types of transformations:
1) Translation
2) Reflection 3) Stretch
TRANSLATION
Translation- A transformation that moves every point on a figure a given distance in a given direction.
"Translation" simply means Shifts … without rotating, stretching or anything else, just shifts.
REFLECTIONSREFLECTIONS Reflections- A transformation creating a
mirror image of a figure or graph on the opposite side of a line
Every point is the same distance from the central (mirror) line ... and ...The reflection has the same size as the original image
Stretch
Stretch- a transformation in which the size of a figure or graph changes, but the shape of the figure or graph stays the same.
Stretch
Stretch in
Transforming Parent Functions
Sketch the graph of a f(x) = √x parent function.
Translation of Parent Function
Sketch a vertical translation
Now sketch a horizontal translation.
Reflection of Parent Function Sketch the parent function of a quadratic.
Sketch a vertical refection of the parent functionPossible Example:What is the line of reflection?