document.write( "Question 909403: How can the graph of f(x)=(x+6)^2 be obtained from the graph of y=x^2?
\n" );
document.write( "^2 = squared. \n" );
document.write( "
Algebra.Com's Answer #551849 by Theo(13342)![]() ![]() You can put this solution on YOUR website! it's the graph of y = x^2 shifted to the left 6 units.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when x = 0, the graph of y = x^2 has y = 0 and the graph of y = (x+6)^2 has y = 36.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the graph of y = (x+6)^2 will be always be ahead of the graph of y = x^2 by 6 units.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that means it's the same graph except it is shifted to the left 6 units.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if that was your question, then this is your answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's the graph of both equations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can see that both graphs are identical except the graph of y = (x+6)^2 is shifted to the left 6 units.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in the graph below, the graph of y = (x+6)^2 is the red graph and the graph of y = x^2 is the black graph.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |