document.write( "Question 146287: Let R(x)=x^3-7/x^2+1; what happens to R(x) if we now have R(x)-3?
\n" ); document.write( "a)It shiftes 3 units to the left
\n" ); document.write( "b)It shiftes 3 units down
\n" ); document.write( "c)It shiftes 3 units to the right
\n" ); document.write( "d)It shiftes 3 units up \n" ); document.write( "

Algebra.Com's Answer #106824 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"R%28x%29=%28x%5E3-7%29%2F%28x%5E2%2B1%29\"$ ; what happens to $\"R%28x%29\"$ if we now have $\"R%28x%29-3\"$ ?
\n" ); document.write( "a)It shifts 3 units to the left
\n" ); document.write( "b)It shifts 3 units down
\n" ); document.write( "c)It shifts 3 units to the right
\n" ); document.write( "d)It shifts 3 units up
\n" ); document.write( "

\r\n" );
document.write( "Rules for shifting and reflecting:\r\n" );
document.write( "\r\n" );
document.write( "If we had R(x+3), the shift in R(x) would be 3 units to the left.\r\n" );
document.write( "If we had R(x-3), the shift in R(x) would be 3 units to the right.\r\n" );
document.write( "If we had R(-x), the graph R(x) would be reflected in the y-axis.\r\n" );
document.write( "If we had -R(x), the graph R(x) would be reflected in the x-axis.\r\n" );
document.write( "If we had R(x)+3, the shift in R(x) would be 3 units up.\r\n" );
document.write( "If we had R(x)-3, the shift in R(x) would be 3 units down.\r\n" );
document.write( "\r\n" );
document.write( "So the answer is b).\r\n" );
document.write( "\r\n" );
document.write( "Edwin

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

\n" );