document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1052024>Question 1052024</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the vertex, focus, and directrix of the parabola given by each equation. Sketch the graph.\r<BR>\n" );
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document.write( "(y – 1)^2 = 2x + 8<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #667499 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=667499\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Similar to your other question like this.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-1%29%5E2=2%28x%2B4%29 ALIGN=MIDDLE  ALT=\"%28y-1%29%5E2=2%28x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, simple factorization;\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%2B4%29=%28y-1%29%5E2 ALIGN=MIDDLE  ALT=\"2%28x%2B4%29=%28y-1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This form and readable values should tell you that this parabola is of symmetry axis parallel to the x-axis, vertex point is a the far left of the graph and parabola opens to the right.  (The parabola is HORIZONTAL).\r<BR>\n" );
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document.write( "Remember the equational form,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4p%28x-h%29=%28y-k%29%5E2 ALIGN=MIDDLE  ALT=\"4p%28x-h%29=%28y-k%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ?\r<BR>\n" );
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document.write( "Vertex, you read right from the equation:  (-4,1).\r<BR>\n" );
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document.write( "p is distance between vertex and either the focus or directrix.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4p=2 ALIGN=MIDDLE  ALT=\"4p=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=1%2F2 ALIGN=MIDDLE  ALT=\"p=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >---------you can find from this, the focus and the directrix. </SPAN>\n" );
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