document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=815009>Question 815009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertex, focus, and directrix of the parabola<BR>\n" );
document.write( "Y^2+14y+4x+45=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #490653 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=490653\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y^2 + 14y + 4x + 45 = 0<BR>\n" );
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document.write( "-y^2 - 14y - 45 = 4x<BR>\n" );
document.write( "x = -0.25y^2 - 3.5y - 11.25<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=-0.25, b=-3.5, and c=-11.25<BR>\n" );
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document.write( "to solve the quadratic equation, plug this:<BR>\n" );
document.write( "-0.25 -3.5 -11.25<BR>\n" );
document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
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document.write( "note: <BR>\n" );
document.write( "the above solver is for parabolas with vertical axes of symmetry:<BR>\n" );
document.write( "Y(x) = ax^2 + bx + c<BR>\n" );
document.write( "the problem parabola has a horizontal axis of symmetry:<BR>\n" );
document.write( "x = ay^2 + by + c<BR>\n" );
document.write( "so just flip x and y in the solver's results, as done below:<BR>\n" );
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document.write( "vertex is a maximum at ( 1, -7 )<BR>\n" );
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document.write( "focus is ( 0, -7 )<BR>\n" );
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document.write( "directrix is x = 2<BR>\n" );
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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" );
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