document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=816049>Question 816049</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The axis of symmetry of a parabola is the line x=4.<BR>\n" );
document.write( "The x-intercepts are 10 and -2.<BR>\n" );
document.write( "Suppose that the point (12,4) is on the graph;what other point must also be on the graph?<BR>\n" );
document.write( "I keep getting the point (4,4) would be on the graph but it is wrong. What am I doing wrong and what point is on the graph? Thanks for any help.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #491326 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=491326\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the axis of symmetry of the parabola is the line x = 4<BR>\n" );
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document.write( "this means that you can fold a graph of the parabola along the above line and the two halves of the graph will overlap perfectly.<BR>\n" );
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document.write( "if the point p1 (12, 4) is on the parabola then another point p2 symmetrical to it must also be on the parabola.<BR>\n" );
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document.write( "reflect p1 (12, 4) about the axis of symmetry x = 4<BR>\n" );
document.write( "the other point p2 is at distance dx from the axis of symmetry:<BR>\n" );
document.write( "dx = 12 - 4 = 8<BR>\n" );
document.write( "but on the opposite side of the axis of symmetry:<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "the other point (p2) is:<BR>\n" );
document.write( "x = 4 - dx<BR>\n" );
document.write( "x = 4 - 8<BR>\n" );
document.write( "x = -4<BR>\n" );
document.write( "y = 4 (from the y-coordinate of p1)<BR>\n" );
document.write( "(-4, 4)<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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