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)![]() ![]() 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( " |