document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=493252>Question 493252</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation in standard form that has a vertex (-4, 7) and goes through (5, 0). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #335373 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=335373\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation in standard form that has a vertex (-4, 7) and goes through (5, 0).<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Standard form of an equation for a parabola: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.<BR>\n" );
document.write( "From given data:<BR>\n" );
document.write( "0=A(5-(-4))^2+7<BR>\n" );
document.write( "-7=A(5+4)^2=81A<BR>\n" );
document.write( "A=-7/81<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y=(-7/81)(x+4)^2+7<BR>\n" );
document.write( "see graph below as a visual check on equation<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C300%2C+-20%2C+20%2C+-20%2C+20%2C%28-7%2F81%29%28x%2B4%29%5E2%2B7%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C300%2C+-20%2C+20%2C+-20%2C+20%2C%28-7%2F81%29%28x%2B4%29%5E2%2B7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );