document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=105254>Question 105254</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131808583/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> find quadratic function ax^2 + c with a graph that has the given points:<BR>\n" );
document.write( "1.) (2, 5/2) and (0,-1/2)<BR>\n" );
document.write( "using those points, how can i come up with the function?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76612 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=76612\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the vertex be (0,-1/2), (h,k)<BR>\n" );
document.write( "Let c=k (because I am more used to using k)<BR>\n" );
document.write( "y=a(x-h)^2+k<BR>\n" );
document.write( "y=a(x-0)^2-1/2<BR>\n" );
document.write( "y(2)=5/2<BR>\n" );
document.write( "5/2=a(2)^2-1/2<BR>\n" );
document.write( "5/2=4a-1/2<BR>\n" );
document.write( "4a=3<BR>\n" );
document.write( "a=3/4<BR>\n" );
document.write( "y=(3/4)x^2-1/2<BR>\n" );
document.write( "Ed<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );