Precalculus 12 Function Transformations
Specific Curriculum Outcomes
RF02 Demonstrate an understanding of the effects of horizontal and vertical translations on the graphs of functions and their related equations.
RF03 Demonstrate an understanding of the effects of horizontal and vertical stretches on the graphs of functions and their related equations.
RF04 Apply translations and stretches to the graphs and equations of functions.
RF05 Demonstrate an understanding of the effects of reflections on the graphs of functions and their related equations, including reflections in the: x-axis, y-axis, and the line y = x.
RF06 Demonstrate an understanding of inverses of relations.
RF02 Demonstrate an understanding of the effects of horizontal and vertical translations on the graphs of functions and their related equations.
RF03 Demonstrate an understanding of the effects of horizontal and vertical stretches on the graphs of functions and their related equations.
RF04 Apply translations and stretches to the graphs and equations of functions.
RF05 Demonstrate an understanding of the effects of reflections on the graphs of functions and their related equations, including reflections in the: x-axis, y-axis, and the line y = x.
RF06 Demonstrate an understanding of inverses of relations.
RF02-RF05 activities
- Function Transformation Card Matching Activity - A set of cards with equations, graphs and descriptions. Students worked alone or with a partner (their choice) to match the appropriate description, equation, and graph cards together into 16 sets of three.
- Graphing Piecewise Functions in Desmos - An example Desmos graph showing a piecewise function being transformations.
RF06 Activities
- Exploring Inverse Functions - Ask student to evaluate a function (such as f(x) = (x-3)/2 and plot points to create a graph. Then swap the x and y values and plot the points again to create a graph of g(x). Fold the graph paper so that f(x) and g(x) coincide. Ask students how the two graphs are related geometrically. Try again with other functions to see if this relationship holds.
- Inverse Functions and Logarithms from Julie Reulbach - An exploration of function inverses.