document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192394>Question 1192394</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help with this word problem for a quadratic function?\r<BR>\n" );
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document.write( "The height h (in feet) of a water balloon can be modeled by h(x) = -3x^2 + 24x + 11, where x is the horizontal distance (in feet) from the launch pad. <BR>\n" );
document.write( "The launchpad is adjusted so that the water balloon lands exactly 9 feet away from the launchpad. Write a function that models the new path of the water balloon. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824306 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=824306\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The height h (in feet) of a water balloon can be modeled by h(x) = -3x^2 + 24x + 11, where x is the horizontal distance (in feet) from the launch pad.<BR>\n" );
document.write( "The launchpad is adjusted so that the water balloon lands exactly 9 feet away from the launchpad.<BR>\n" );
document.write( " Write a function that models the new path of the water balloon. <BR>\n" );
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document.write( "We should be able to do this by changing the coefficient of x^2 of the given equation: <BR>\n" );
document.write( "x=9, y=0<BR>\n" );
document.write( "a*(9^2) + 24(9) + 11 = 0<BR>\n" );
document.write( "81a + 216 + 11 = 0<BR>\n" );
document.write( "81a = -227<BR>\n" );
document.write( "a = -227/81<BR>\n" );
document.write( "a = -2.802<BR>\n" );
document.write( "new equation<BR>\n" );
document.write( "h(x) = -2.802x^2 + 24x + 11 </SPAN>\n" );
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