document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=250347>Question 250347</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would you write the equation of a parabola in vertex from that has the vertex (0,3) and a point (-4,-45)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #185125 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=185125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Parabola have the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+=+a%28x-h%29%5E2+%2B+k ALIGN=MIDDLE  ALT=\"Y+=+a%28x-h%29%5E2+%2B+k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where h,k is the vertex. We are given (0,3) as well as (-4, -45). Putting all of this in, we can find a as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-45+=+a%2A%28-4-0%29%5E2+%2B+3 ALIGN=MIDDLE  ALT=\"-45+=+a%2A%28-4-0%29%5E2+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-45+=+16a+%2B+3 ALIGN=MIDDLE  ALT=\"-45+=+16a+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-48+=+16a ALIGN=MIDDLE  ALT=\"-48+=+16a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+-3 ALIGN=MIDDLE  ALT=\"a+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The equation is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+=+-3%28x-0%29%5E2+%2B+3 ALIGN=MIDDLE  ALT=\"Y+=+-3%28x-0%29%5E2+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or simply<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+=+-3x%5E2+%2B+3 ALIGN=MIDDLE  ALT=\"Y+=+-3x%5E2+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );