document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=606002>Question 606002</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the standard equation of a parabola that has a vertical axis and satisfies the given conditions.<BR>\n" );
document.write( "vertex (0, &#8722;5),     passing through (4, 27)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #381879 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=381879\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the standard equation of a parabola that has a vertical axis and satisfies the given conditions.<BR>\n" );
document.write( "vertex (0, &#8722;5), passing through (4, 27)<BR>\n" );
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document.write( "Standard form of equation for parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of vertex.<BR>\n" );
document.write( "For given parabola:<BR>\n" );
document.write( "equation: <BR>\n" );
document.write( "y=A(x-0)^2-5<BR>\n" );
document.write( "using coordinates of given point (4,27)<BR>\n" );
document.write( "27=A4^2-5=16A-5<BR>\n" );
document.write( "16A=32<BR>\n" );
document.write( "A=2<BR>\n" );
document.write( "Equation of given parabola:<BR>\n" );
document.write( "y=2x^2-5 </SPAN>\n" );
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