document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=604353>Question 604353</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Vertex of the parabola below is at the point (6, 1.5) and the point (7, 3.5) is on the parabola. what is the equation of the parabola? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #381117 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=381117\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Vertex of the parabola below is at the point (6, 1.5) and the point (7, 3.5) is on the parabola. what is the equation of the parabola?<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Assuming the parabola is opening upward (it could be to the right),<BR>\n" );
document.write( "use the vertex-form:<BR>\n" );
document.write( "(x-h)^2 = 4p(y-k)<BR>\n" );
document.write( "Substitute for x,y,h,k and solve for \"p\":<BR>\n" );
document.write( "(7-6)^2 = 4p(3.5-1.5)<BR>\n" );
document.write( "1 = 4p(2)<BR>\n" );
document.write( "4p = 1/2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "(x-6)^2 = (1/2)(y-(3/2))<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = 2[x^2-12x+36]+(3/2)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "y = 2x^2-24x+73.5<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );