Function Transformations and Inverses

g(x)=af(b(x+c)) +d

a

1

b

1

c

0

d

0

xmin

-7

xmax

7

inverse

parent function

sine

reset

plot label

grid lines

This Demonstration explores the affects of function transformations on the graphs of some elementary functions. The "inverse" button sketches the inverse of a selected function, which may or may not be a function. With the "inverse" control checked, you can adjust the domain using the "xmin" and "xmax" sliders so that the inverse becomes a function.