document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=629079>Question 629079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of a parabola that opens to the right, has vertex (0,3) and goes through the point (2,-1). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #396024 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=396024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of a parabola that opens to the right, has vertex (0,3) and goes through the point (2,-1)<BR>\n" );
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document.write( "Standard form of parabola that opens to the right: (y-k)^2=4p(x-h), (h,k)=(x,y) coordinates of the vertex.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Equation: <BR>\n" );
document.write( "(y-3)^2=4px<BR>\n" );
document.write( "solve for p using coordinates of given point (2,-1)<BR>\n" );
document.write( "(-1-3)^2=4p*2<BR>\n" );
document.write( "16=8p<BR>\n" );
document.write( "p=2<BR>\n" );
document.write( "4p=8<BR>\n" );
document.write( "Equation of given parabola: (y-3)^2=8x </SPAN>\n" );
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