Algebra · Foundation · 9 min
Transforming functions
Changing the input moves a graph horizontally. Changing the output moves it vertically.
WHAT HAPPENS IF…Move the sine curve two units right and one unit down.
Preparing your experiment…
Connect the picture to the ideag(x)=asin(x−h)+kReplacing x by x − h makes every input arrive h units later. Multiplying by a scales outputs about the x-axis; adding k then shifts them.
A detail that mattersA minus sign inside x − h moves the graph to the right when h is positive.