Page 3: Transformation Review and Advanced Examples

This page provides a comprehensive review of transformations and introduces more complex examples.

Definition: Vertical stretches and shrinks multiply the function by a constant, affecting the graph's height and width.

Example: f(x) = -x + 2 demonstrates both a reflection and vertical translation of the linear parent function.

Vocabulary: Domain refers to all possible input values, while range covers all possible output values.

Page 4: Complex Transformations

This page explores more sophisticated transformation combinations and their effects on different parent functions.

Example: f(x) = x + 4| - 3 shows a horizontal translation right 4 units and a vertical translation down 3 units of the absolute value function.

Highlight: Multiple transformations can be applied simultaneously, requiring careful attention to order of operations.

Page 1: Introduction to Parent Functions and Transformations

This page introduces fundamental concepts of parent functions and their transformations. The content covers three main function families and their basic properties.

Definition: Parent functions are the simplest form of a function family from which other functions can be derived through transformations.

Vocabulary: Transformations are changes to the size, shape, position, or orientation of a graph.

The page outlines key function families:

• Linear function: f(x) = x
• Absolute value function: f(x) = |x|
• Quadratic function: f(x) = x²

Highlight: Two main types of transformations are introduced: translations (horizontal/vertical movements) and reflections (mirror flips).