Graphs Transformations.

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Presentation transcript:

Graphs Transformations

Work in groups of 4. Objectives: In this lesson, students will learn 1. to compare the graphs of different functions. 2. to transform the parent graph when the parameter changes.

Project 1.Draw and label the following parent graphs and its inverse in different coordinate plane for each group of functions. Linear and its inverse eg. y = x and y = – x Quadratic and its inverse eg. y = x2 and Cubic and its inverse eg. y = x3 and Exponential and its inverse y = 2x and y = log2x

Refer to the Transformation Chart on page 514. Transform each parent graph with horizontal and vertical translation. Transform each parent graph with horizontal and vertical stretching and compression. Transform each parent graph with horizontal and vertical reflection.

Example Plot the graph y = √x y = – 2√(x + 4)