document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=331983>Question 331983</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The baseball player throws a ball, and the height of the ball (in feet) can be approximated by the quadratic function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28x%29=-0.011x%5E2%2B0.577x%2B5 ALIGN=MIDDLE  ALT=\"y%28x%29=-0.011x%5E2%2B0.577x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > where x is the horizontal position of the ball measured in feet from the origin.\r<BR>\n" );
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document.write( "A. For what value of x will the ball reach its highest point? round to the nearest foot.\r<BR>\n" );
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document.write( "B. What is the maximum height of the ball? round to the nearest tenth of a foot. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #237942 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=237942\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The baseball player throws a ball, and the height of the ball (in feet) can be approximated by the quadratic function y%28x%29=-0.011x%5E2%2B0.577x%2B5 where x is the horizontal position of the ball measured in feet from the origin.<BR>\n" );
document.write( "A. For what value of x will the ball reach its highest point? round to the nearest foot.<BR>\n" );
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document.write( "y(x)=-0.011x^2+0.577x+5<BR>\n" );
document.write( "Finding the \"vertex\" will give you the highest point:<BR>\n" );
document.write( "axis of symmetry = -b/(2a)<BR>\n" );
document.write( "axis of symmetry = -0.577/(2(-0.011))<BR>\n" );
document.write( "axis of symmetry = -0.577/(-0.022)<BR>\n" );
document.write( "axis of symmetry = 26.23<BR>\n" );
document.write( "x = 26.23 = 26 feet<BR>\n" );
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document.write( "B. What is the maximum height of the ball? round to the nearest tenth of a foot.<BR>\n" );
document.write( "To find the height, plug it back in:<BR>\n" );
document.write( "y(x)=-0.011x^2+0.577x+5<BR>\n" );
document.write( "y(26)=-0.011(26)^2+0.577(26)+5<BR>\n" );
document.write( "y(26)= 12.57 = 13 feet<BR>\n" );
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