document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127530>Question 1127530</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the quadratic function f whose graph is given the vertex is (3,-2) and the other given point is (2,1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #743938 by </B><A HREF=/tutors/aboutme.mpl?userid=FrankM><B>FrankM(1040)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=FrankM><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/cgi-bin/show-face.mpl?user=FrankM><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=743938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The quadratic in vertex form Y+2=A(X-3)^2 satisfies the vertex you gave. \r<BR>\n" );
document.write( "\n" );
document.write( "Now to find the value of A to make it run through (2,1)\r<BR>\n" );
document.write( "\n" );
document.write( "1+2=A(-1)^2\r<BR>\n" );
document.write( "\n" );
document.write( "3=A\r<BR>\n" );
document.write( "\n" );
document.write( "Final answer is Y+2=3(X-3)^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=FrankM&illustration_name=vertex\">. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );