Essential Question: How do transformations of a function affect its equation, graph, or table of values? Unit Rationale: Transformations connect the study of functions to realworld situations such as computer graphics and animation. Understanding transformations of functions helps us model situations in which a component has changed, such as a change in starting location, change in speed, etc. As a result of this unit, students will be able to: Ø Describe and apply four ways of transforming a function or a figuretranslating, reflecting, stretching/shrinking, and rotating, through graphs, words, symbols, and equations. Ø Write an equation that represents graphical transformation of a parent function (linear, absolute value, or quadratic). Vocabulary: · Asymptote · Family of functions · Parabola · Parent function · Rational function · Rational expression · Reflect · Rotation · Shrink · Stretch · Transformations · Translate Standards: Standards will be assessed on both the state and classroom levels, however, standards with an asterisk (*) in the code will count for graduation requirements. Focus Standards: *A1.4.E Describe how changes in the parameters of linear functions and functions containing an absolute value of a linear expression affect their graphs and the relationship they represent. Supporting Standards: A1.5.B Sketch the graph of a quadratic function, describe the effects that changes in the parameters have on the graph, and interpret the xintercepts as solutions to a quadratic equation. *A1.6.C Describe how linear transformations affect the center and spread of univariate data. Reasoning, Problem Solving, and Communication Standards: A1.8.E Read and interpret diagrams, graphs, and text containing the symbols, language and conventions of mathematics. A1.8.F Summarize mathematical ideas with precision and efficiency for a given audience and purpose.
