document.write( "Question 1167642: The graph of the absolute value parent function is shifted two units left and five units down, the vertically stretched by a factor of three. Write the equation of the new function in vertex form . \n" ); document.write( "
Algebra.Com's Answer #792221 by ikleyn(52787)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "The graph of the absolute value parent function is shifted two units left and five units down,
\n" ); document.write( "\"highlight%28cross%28the%29%29\" then vertically stretched by a factor of three.
\n" ); document.write( "Write the equation of the new function in vertex form .
\n" ); document.write( "~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If  y = f(x) is the parent function,  then the requested function is   y = f(3(x+2)) - 5.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "                Illustration\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "If the parent function is  y = |x|, then the requested function is  y = |3*(x+2)| - 5.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "See the plot below.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Plot y = |x| (the parent function, red), y = |3*(x+2)| - 5 (new function, green).\r\n" );
document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );