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Transformations of Graphs: Symmetry and Functions in Algebra

In this algebra class, we explore the transformations of graphs of functions, focusing on symmetry about the y-axis, x-axis, and the origin. We will determine whether functions are odd, even, or neither and examine their parent functions. Students will engage in various tasks, including identifying shifts in graphs, describing transformations, and sketching graphs accurately. Additional exercises involve assessing symmetry algebraically and graphically. Complete the assigned problems on page 259 for further practice and comprehension.

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Transformations of Graphs: Symmetry and Functions in Algebra

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  1. MAT 150 AlgebraClass #12 Topics: Transformations of Graphs of Functions Symmetric about the y-axis, x-axis or origin Is a function odd, even or neither?

  2. Parent Functions

  3. Transformation of Graphs of Functions

  4. Transformation of Graphs of Functions

  5. Example Use the function to answer the following questions. • The graph of this function is a shift graph of which basic function? • Describe the transformations used to obtain the graph of the function. • Sketch a graph of the function.

  6. Symmetry

  7. Examples Determine algebraically whether the graph of the given equation is symmetric with respect to x-axis, y-axis and/or the origin. Is the function even, odd or neither? Confirm graphically.

  8. Assignment Pg. 259 #3-9odd #17-18 #23 & 25 #27-35 odd #51, 60

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