document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=883235>Question 883235</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of the quadratic function whose graph has the vertex (0,2) and contains the point (1,3)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #533411 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=533411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the vertex is (0,2)<BR>\n" );
document.write( "our equation has the form y = ax^2 + 2<BR>\n" );
document.write( "using the point (1,3) for (x,y)<BR>\n" );
document.write( "y = ax^2 + 2 becomes 3 = a*1^2 +2<BR>\n" );
document.write( " 3 = a*1 + 2<BR>\n" );
document.write( " 3 = a + 2<BR>\n" );
document.write( "add -2 to each side<BR>\n" );
document.write( " 1 = a<BR>\n" );
document.write( "So our equation is y = 1*x^2 +2<BR>\n" );
document.write( "or y = x^2 + 2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );