document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77598>Question 77598</A>: <I><SPAN STYLE=\"word-break: break-all;\">  can someone please help me with this. What is the vertex and x-intercepts for the quadratic function described in the situation. <BR>\n" );
document.write( "The sluggers were up to bat in the bottom of the ninth inning in a game against the ditchers. Theo Slam was up to bat. As he plugged the ball toward left field, it rose from 3 to 10 to 50 feet as the horizontal distance from home plate increased from 0 to 2 to 14 feet. Assume that the vertical distance varies quadratically with the horizontal distance.\r<BR>\n" );
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document.write( "Can someone please help me!!!!!!!!!!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55663 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=55663\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have three tracking points: (0,3),(2,10),(14,50)<BR>\n" );
document.write( "The equation is y=ax^2+bx+c<BR>\n" );
document.write( "Substitute the point values and solve for a,b,c<BR>\n" );
document.write( "3=0a+0b+c<BR>\n" );
document.write( "10=4a+2b+c<BR>\n" );
document.write( "50=196a+14b+c<BR>\n" );
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document.write( "Solve the system of linear equations.<BR>\n" );
document.write( "I used a TI calculator's matrix method to get:<BR>\n" );
document.write( "X=A^-1B<BR>\n" );
document.write( "a= -0.0119047<BR>\n" );
document.write( "b= 5.5238095<BR>\n" );
document.write( "c= 3<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "y=-0.119047x^2+5.5238095x+3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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