document.write( "Question 1176151: Given the graph y = f(x), in which order do we apply the transformations when graphing \r
\n" ); document.write( "\n" ); document.write( "y=af(b(x−h))+k
\n" ); document.write( ". Why is this the correct order?
\n" ); document.write( "

Algebra.Com's Answer #802323 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "The order of the transformations is the order in which you would evaluate the expression for a given value of x.

\n" ); document.write( "(1) simplify within the innermost parentheses, \"(x-h)\" --> translate h units right

\n" ); document.write( "(2) perform the operation (multiplication) inside the other set of parentheses, \"b(x-h)\" --> stretch horizontally by a factor of 1/b

\n" ); document.write( "(3) perform the multiplication, \"a*f(b(x-h))\" --> Stretch vertically by a factor of a

\n" ); document.write( "(4) perform the addition, \"a*f(b(x-h))+k\" --> translate k units up

\n" ); document.write( "
\n" ); document.write( "
\n" );