document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=45848>Question 45848</A>: <I><SPAN STYLE=\"word-break: break-all;\"> determine the standard equation for a parabola with vertex(2,1) and y intercept (0,3). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #30434 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=30434\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> determine the standard equation for a parabola with vertex(2,1) and y intercept (0,3).<BR>\n" );
document.write( "Assuming you want the equation of the parabola that opens up<BR>\n" );
document.write( "you have the standard vertex form of 4p(y-k)=(x-h)^2<BR>\n" );
document.write( "We know h and k and need to find p, as follws:<BR>\n" );
document.write( "4p(y-1)=(x-2)^2<BR>\n" );
document.write( "Since the parabola passes through (0,3) we have:<BR>\n" );
document.write( "4p(3-1)=(0-2)^2<BR>\n" );
document.write( "4p(2)=4<BR>\n" );
document.write( "p=1/2<BR>\n" );
document.write( "The equation you want is 2(y-1)=(x-2)^2<BR>\n" );
document.write( "This is standard vertex form.<BR>\n" );
document.write( "You may want another form but you can manipulate this<BR>\n" );
document.write( "to get the form you want.\r<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );