document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=813086>Question 813086</A>: <I><SPAN STYLE=\"word-break: break-all;\"> without graphing, find the vertex and the maximum or minimum value of f(x).\r<BR>\n" );
document.write( "\n" );
document.write( "f(x)=-5/7(x-7)^2+6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #489703 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=489703\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)= (-5/7)(x - 7)^2 + 6<BR>\n" );
document.write( "f(x)= (-5/7)(x - 7)(x - 7) + 6<BR>\n" );
document.write( "f(x)= (-5/7)(x^2 - 14x + 49) + 6<BR>\n" );
document.write( "f(x)= (-5/7)x^2 + 10x - 35 + 6<BR>\n" );
document.write( "f(x)= (-5/7)x^2 + 10x - 29<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=-5/7=-0.7142857, b=10, and c=-29<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to solve the quadratic equation, plug this:<BR>\n" );
document.write( "-0.7142857 10 -29<BR>\n" );
document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Answer 1:<BR>\n" );
document.write( "the vertex of the quadratic equation is a maximum point at: ( 7.00000014, 6.0000007 )<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Answer 2:<BR>\n" );
document.write( "the maximum value of f(x) is: 6.0000007<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );