document.write( "Question 825598: the graph of f(x)=x^2 will be translated 5 units up and 2 units to the right. What is the function that describes the graph produced by the translation? \n" ); document.write( "
Algebra.Com's Answer #497462 by math-vortex(648)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Hi, there--\r\n" );
document.write( "\r\n" );
document.write( "THE PROBLEM:\r\n" );
document.write( "The graph of f(x)=x^2 will be translated 5 units up and 2 units to the right.  What is the \r\n" );
document.write( "function that describes the graph produced by the translation?\r\n" );
document.write( "\r\n" );
document.write( "A SOLUTION:\r\n" );
document.write( "A vertical translation (a shift) has the form g(x) = f(x) + c where g(x) is the transformed  \r\n" );
document.write( "function and c is the number of units. If c>0, the function shits up. If c<0, the shift is down.\r\n" );
document.write( "\r\n" );
document.write( "A horizontal translation has the form g(x) = f(x+c) where g(x) is the c s the number of units \r\n" );
document.write( "shift left or right. If c>0 the function shifts left. If c<0 the function shifts right.\r\n" );
document.write( "\r\n" );
document.write( "Putting this all together we shift 5 units up.\r\n" );
document.write( "g(x) = x^2 + 5\r\n" );
document.write( "\r\n" );
document.write( "Then we shift 2 units to the right.\r\n" );
document.write( "g(x) = (x-2)^2 + 5\r\n" );
document.write( "\r\n" );
document.write( "Hope that helps!\r\n" );
document.write( "Mrs. Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
document.write( "
\n" ); document.write( "
\n" );