document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172693>Question 172693</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use the given values to find an equation of the form f(x)=ax^2 + bx + c\r<BR>\n" );
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document.write( "3. f(0)= 6, f(2)= 18, f(4)= 34\r<BR>\n" );
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document.write( "Please explain step by step!\r<BR>\n" );
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document.write( "I would really appreciate any help!\r<BR>\n" );
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document.write( "Thank you very much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127540 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=127540\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=ax^2 + bx + c<BR>\n" );
document.write( "f(0)=6<BR>\n" );
document.write( "f(0)=a*0^2+b*0+c<BR>\n" );
document.write( "f(0)=c thus c=6<BR>\n" );
document.write( "f(2)=18<BR>\n" );
document.write( "f(2)=a*2^2+b*2+6<BR>\n" );
document.write( "f(2)=4a+2b+6=18 multiply by -4 & add to the f(4) equation<BR>\n" );
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document.write( "f(4)=34<BR>\n" );
document.write( "f(4)=a*4^2+b*4+6<BR>\n" );
document.write( "f(4)=16a+4b+6=34<BR>\n" );
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document.write( "-16a-8b-24=-72<BR>\n" );
document.write( "16a+4b+6=34 add.<BR>\n" );
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document.write( "-4b-18=-38<BR>\n" );
document.write( "-4b=-38+18<BR>\n" );
document.write( "-4b=-20<BR>\n" );
document.write( "b=-20/-4<BR>\n" );
document.write( "b=5 ans.<BR>\n" );
document.write( "4a+2*5+6=18<BR>\n" );
document.write( "4a+10+6=18<BR>\n" );
document.write( "4a=18-10-6<BR>\n" );
document.write( "4a=2<BR>\n" );
document.write( "a=2/4=1/2=.5 ans.<BR>\n" );
document.write( "Proof<BR>\n" );
document.write( "16*.5+4*5+6=34<BR>\n" );
document.write( "8+20+6=34<BR>\n" );
document.write( "34=34<BR>\n" );
document.write( "f(x)=a/2+5b+6\r<BR>\n" );
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document.write( " </SPAN>\n" );
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