document.write( "Question 965888: A graph of f(x)=ax^2+bx+c and its turning point is S(1;18).P and T are x-intercepts of f.The graph of g(x)=-2x+8 has an x-intercept at T.R is a point of intersection of f and g.What is the equation for f in the form of f(x)=ax^2+bx+c\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #590340 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
\"f%28x%29=d%28x-1%29%5E2%2B18\"
\n" ); document.write( "So then to find P and T,
\n" ); document.write( "\"d%28x-1%29%5E2%2B18=0\"
\n" ); document.write( "\"d%28x-1%29%5E2=-18\"
\n" ); document.write( "\"%28x-1%29%5E2=-18%2Fd\"
\n" ); document.write( "\"x-1=0+%2B-+sqrt%28-18%2Fd%29\"
\n" ); document.write( "\"x=1+%2B-+sqrt%28-18%2Fd%29\"
\n" ); document.write( "Also you can find T.
\n" ); document.write( "\"-2x%2B8=0\"
\n" ); document.write( "\"2x=8\"
\n" ); document.write( "\"x=4\"
\n" ); document.write( "So then you can find T.
\n" ); document.write( "\"1%2Bsqrt%28-18%2Fd%29=4\"
\n" ); document.write( "\"sqrt%28-18%2Fd%29=3\"
\n" ); document.write( "\"-18%2Fd=9\"
\n" ); document.write( "\"d=-2\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"f%28x%29=-2%28x-1%29%5E2%2B18\"
\n" ); document.write( "\"f%28x%29=-2%28x%5E2-2x%2B1%29%2B18\"
\n" ); document.write( "\"f%28x%29=-2x%5E2%2B4x-2%2B18\"
\n" ); document.write( "\"f%28x%29=+-2x%5E2%2B4x%2B16+\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( ".
\n" ); document.write( "
\n" );