Main content

Transformations of functions

Learn
Shifting functions introductionShifting functions examplesGraphing shifted functions
Practice
Shift functionsGet 3 of 4 questions to level up!
Learn
Reflecting functions introductionReflecting functions: examples
Practice
Reflect functionsGet 3 of 4 questions to level up!
Learn
Function symmetry introductionFunction symmetry introductionEven and odd functions: GraphsEven and odd functions: TablesEven and odd functions: EquationsEven and odd functions: Find the mistakeSymmetry of polynomials
Practice
Even and odd functions: Graphs and tablesGet 3 of 4 questions to level up!
Even & odd functions: EquationsGet 3 of 4 questions to level up!
Learn
Scaling functions introductionScaling functions vertically: examplesScaling functions horizontally: examplesIdentifying horizontal squash from graph
Practice
Scale functions verticallyGet 3 of 4 questions to level up!
Scale functions horizontallyGet 3 of 4 questions to level up!
Learn
Identifying function transformations
Practice
Identify function transformationsGet 3 of 4 questions to level up!
Learn
Graphing square and cube root functionsRadical functions & their graphs
Practice
Graphs of square and cube root functionsGet 3 of 4 questions to level up!
Learn
Transforming exponential graphsTransforming exponential graphs (example 2)Graphing exponential functions
Practice
Graphs of exponential functionsGet 3 of 4 questions to level up!
Learn
Graphical relationship between 2ˣ and log₂(x)Graphing logarithmic functions (example 1)Graphing logarithmic functions (example 2)
Practice
Graphs of logarithmic functionsGet 3 of 4 questions to level up!

About this unit

In Mathematics II, students reasoned about graphs of absolute value and quadratic functions by thinking of them as transformations of the parent functions |x| and x². In this unit, we extend this idea to include transformations of any function whatsoever. This fascinating concept allows us to graph many other types of functions, like square/cube root, exponential and logarithmic functions.