document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825266>Question 825266</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the parabola<BR>\n" );
document.write( "a) that is symmetric about the line y=4 and passing through the points (4,4) & (10,0)<BR>\n" );
document.write( "b) whose focus and vertex are the vertex and focus, respectively, of the parabola with equation x+4y^2-y=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #497173 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=497173\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "This post contains 2 questions<BR>\n" );
document.write( "I will answer the first:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "The general equation of a horizontal parabola with vertex (h,k) is:<BR>\n" );
document.write( "x = a(y – k)^2 + h<BR>\n" );
document.write( "---<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(4,4) and <BR>\n" );
document.write( "the parabola is symmetric about the line y=4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(4,4) must be the vertex<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = a(y – k)^2 + h<BR>\n" );
document.write( "x = a(y – 4)^2 + 4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(10,0)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = a(y – 4)^2 + 4<BR>\n" );
document.write( "10 = a(0 – 4)^2 + 4<BR>\n" );
document.write( "10 = a(-4)^2 + 4<BR>\n" );
document.write( "10 = 16a + 4<BR>\n" );
document.write( "16a = 14<BR>\n" );
document.write( "a = 14/16<BR>\n" );
document.write( "a = 7/8<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "x = (7/8)(y – 4)^2 + 4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "in standard form:<BR>\n" );
document.write( "x = (7/8)(y – 4)(y – 4) + 4<BR>\n" );
document.write( "x = (7/8)(yy – 8y + 16) + 4<BR>\n" );
document.write( "x = (7/8)yy – 7y + 14 + 4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = (7/8)y^2 – 7y + 18<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( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );