document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1170530>Question 1170530</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At a water fountain, water attains a maximum height of 4m at horizontal distance of 0.5m from its origin. If the path of the water is parabola, find the height of the water at a horizontal distance of 0.75m from the point of origin. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #795429 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=795429\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The vertex is at (0.5, 4)<BR>\n" );
document.write( "The equation of the parabola in vertex form is f(x)= a(x-h)^2+k<BR>\n" );
document.write( "so this is a(x-0.5)^2+4<BR>\n" );
document.write( "a known point is at (0, 0)<BR>\n" );
document.write( "so a*(0.25)+4=0<BR>\n" );
document.write( ".25a=-4<BR>\n" );
document.write( "a=-16\r<BR>\n" );
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document.write( "can write this as -16x^2+16x.=f(x). This makes sense with gravity and the constant should be 0 if starting at ground level.<BR>\n" );
document.write( "check for vertex which is x=0.5 and y=-4+8=4<BR>\n" );
document.write( "when x=0.75, f(x)=-9+12=3 feet.\r<BR>\n" );
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