document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180070>Question 1180070</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Based on the equations of the parabolas, identify each parabola whose focus and vertex lie in different quadrants.\r<BR>\n" );
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document.write( "a. y=-x^2/8+x/4+23/8<BR>\n" );
document.write( "b. y=x^2/32+x/4-13/2<BR>\n" );
document.write( "c. x=-y^2/16-y/4+11/4<BR>\n" );
document.write( "d. x=y^2/16+y/4-19/4<BR>\n" );
document.write( "e. x=-y^2/36-5y/18+299/36<BR>\n" );
document.write( "f. y=-x^2/24-5x/12+95/24<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 #809829 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10555)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=809829\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Based on the equations of the parabolas, identify each parabola whose focus and vertex lie in different quadrants.\r<BR>\n" );
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document.write( "a. y=-x^2/8+x/4+23/8<BR>\n" );
document.write( "b. y=x^2/32+x/4-13/2<BR>\n" );
document.write( "c. x=-y^2/16-y/4+11/4<BR>\n" );
document.write( "d. x=y^2/16+y/4-19/4<BR>\n" );
document.write( "e. x=-y^2/36-5y/18+299/36<BR>\n" );
document.write( "f. y=-x^2/24-5x/12+95/24<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">DEFINITELY not going to do all of those for you, JUST # 1.<BR>\n" );
document.write( "If you like TORTURE, then you can do the problem the same way the other COMPLEX-PERSON who responded, did it! If you do not wish to TORTURE yourself, then read on.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C3%2C+y%2C+%22=%22%2C+%28-+x%5E2%29%2F8+%2B+x%2F4+%2B+23%2F8%29 ALIGN=MIDDLE  ALT=\"matrix%281%2C3%2C+y%2C+%22=%22%2C+%28-+x%5E2%29%2F8+%2B+x%2F4+%2B+23%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C3%2C+8y%2C+%22=%22%2C+-+x%5E2+%2B+2x+%2B+23%29 ALIGN=MIDDLE  ALT=\"matrix%281%2C3%2C+8y%2C+%22=%22%2C+-+x%5E2+%2B+2x+%2B+23%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------- Multiplying by LCD, 8<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C3%2C+x%5E2+-+2x%2C+%22=%22%2C+-+8y+%2B+23%29 ALIGN=MIDDLE  ALT=\"matrix%281%2C3%2C+x%5E2+-+2x%2C+%22=%22%2C+-+8y+%2B+23%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C3%2C+x%5E2+-+2x+%2B+%28%281%2F2%29+%2A+-+2%29%5E2%2C+%22=%22%2C+-+8y+%2B+23+%2B+%28%281%2F2%29+%2A+-+2%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ----- Complete the square on x by taking <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > of \"b\" on x, squaring it and ADDING it to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C3%2C+x%5E2+-+2x+%2B+%28-+1%29%5E2%2C+%22=%22%2C+-+8y+%2B+23+%2B+%28-+1%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%282%2C3%2C+%28x+-+1%29%5E2%2C+%22=%22%2C+-+8y+%2B+23+%2B+1%2C+%28x+-+1%29%5E2%2C+%22=%22%2C+-+8y+%2B+24%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Final equation, with a VERTICAL AXIS of SYMMETRY: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28matrix%281%2C3%2C+%28x+-+1%29%5E2%2C+%22=%22%2C+-+8%28y+-+3%29%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28matrix%281%2C3%2C+%28x+-+1%29%5E2%2C+%22=%22%2C+-+8%28y+-+3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "                            Compare the above to: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C3%2C+%28x+-+h%29%5E2%2C+%22=%22%2C+4p%28y+-+k%29%29 ALIGN=MIDDLE  ALT=\"matrix%281%2C3%2C+%28x+-+h%29%5E2%2C+%22=%22%2C+4p%28y+-+k%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%284%2C3%2C+Vertex%2C+%22is%3A%22%2C+%22%28h%2C+k%29%22%2C+Focus%2C+%22is%3A%22%2C+%22%28h%2C+k+%2B+p%29%22%2C+Directrix%2C+%22is%3A%22%2C+y+=+k+-+p%2C+Axis_of_Symmetry%2C+%22is%3A%22%2C+x+=+h%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );