document.write( "Question 950253: The graph of the function g is formed by applying the transformation listed below, in the given order, to the function f(x)=sqrt(x). Find an equation for the function g, and sketch the graph of g.\r
\n" );
document.write( "\n" );
document.write( "- Shift to the right by 3 units
\n" );
document.write( "- Vertical stretch by 2 units
\n" );
document.write( "- Reflection with respect to the x-axis\r
\n" );
document.write( "\n" );
document.write( "My answer:\r
\n" );
document.write( "\n" );
document.write( "f(x)=sqrt(x)\r
\n" );
document.write( "\n" );
document.write( "shift right 3 units gives
\n" );
document.write( "g(x)=sqrt(x-3)\r
\n" );
document.write( "\n" );
document.write( "Vertical Stretch by 2 units gives
\n" );
document.write( "g(x)=2sqrt(x-3)\r
\n" );
document.write( "\n" );
document.write( "Reflection at the x-axis
\n" );
document.write( "g(x)=-2sqrt(x-3)\r
\n" );
document.write( "\n" );
document.write( "Sketch g(x)=-2sqrt(x-3)\r
\n" );
document.write( "\n" );
document.write( "Is this correct? Is there a different way of finding an equation? Thanks in advance.\r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #580201 by jhaashok630(18)![]() ![]() ![]() You can put this solution on YOUR website! f(x)=sqrt(x) \r \n" ); document.write( "\n" ); document.write( "g(x)=sqrt(x-3) ---------:shift right 3 units gives\r \n" ); document.write( "\n" ); document.write( "g(x)=2sqrt(x-3) ---------:Vertical Stretch by 2 units gives\r \n" ); document.write( "\n" ); document.write( "g(x)=-2sqrt(x-3) -------: Reflection at the x-axis\r \n" ); document.write( "\n" ); document.write( "Sketch g(x)=-2sqrt(x-3)\r \n" ); document.write( "\n" ); document.write( "You are absolutely right. Fantastic job!! \n" ); document.write( " |