document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=813722>Question 813722</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good Evening,\r<BR>\n" );
document.write( "\n" );
document.write( "I desperately need help solving this problem:\r<BR>\n" );
document.write( "\n" );
document.write( "Graph each parabola by hand, and check using a graphing calculator.  Give the vertex, axis, domain, and range.\r<BR>\n" );
document.write( "\n" );
document.write( "[ y = -3x^2 + 24x - 46 ]\r<BR>\n" );
document.write( "\n" );
document.write( "You're a life saver! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #490264 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=490264\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = -3x^2 + 24x - 46<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=-3, b=24, and c=-46<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to solve the quadratic equation, plug this:<BR>\n" );
document.write( "-3 24 -46<BR>\n" );
document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "vertex is a maximum at ( 4, 2 )<BR>\n" );
document.write( "axis is x = 4<BR>\n" );
document.write( "domain is all real numbers<BR>\n" );
document.write( "range is all real numbers <= 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "graph:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+-3x%5E2+%2B+24x+-+46%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+-3x%5E2+%2B+24x+-+46%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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" );