document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=948030>Question 948030</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I have to write the transformational form equation of a parabola that opens up or down and passes through (3,12), (5,28), and (4,18). Help? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578587 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=578587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, I have to write the transformational form equation of a parabola that opens up or down and passes through (3,12), (5,28), and (4,18). Help?<BR>\n" );
document.write( "============<BR>\n" );
document.write( "ax^2 + bx + c = y<BR>\n" );
document.write( "Using (3,12) :: 9a + 3b + c = 12<BR>\n" );
document.write( "Using (5,28) :: 25a + 5b + c = 28<BR>\n" );
document.write( "Using (4,18) :: 16a + 4b + c = 18<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Using my TI- 84 Matrix Program I get:<BR>\n" );
document.write( "a = 2<BR>\n" );
document.write( "b = -8<BR>\n" );
document.write( "c = 18<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y = 2x^2 - 8x + 18<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );