document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166851>Question 166851</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The path of a diver is y=-4/9x^2+24/9x+12. Where y is the height (in feet) and x is the horizontal distance (in feet) from the end of the diving board. What is the maximum height of the dive? Verify your answer using a graphing utility. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122916 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=122916\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The path of a diver is y=-4/9x^2+24/9x+12. Where y is the height (in feet) and x is the horizontal distance (in feet) from the end of the diving board. What is the maximum height of the dive? Verify your answer using a graphing utility.<BR>\n" );
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document.write( "You have a quadratic with a = (4/9), b = (24/9), c = 12<BR>\n" );
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document.write( "max occurs when x = -b/2a = -(24/9)/[2(4/9)] = -3<BR>\n" );
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document.write( "Height when x = -3 is (-4/9)(-3)^2 + (24/9)(-3) + 12<BR>\n" );
document.write( "= -4 - 8 + 12<BR>\n" );
document.write( "=  0 ft.<BR>\n" );
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document.write( "Comment: That is not a very realistic answer; check your problem statement.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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