document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=795063>Question 795063</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertex of each equation ! PLEASE HELP SOMEONE !!!\r<BR>\n" );
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document.write( "1. h(x) = (x + 2)2 – 1  							<BR>\n" );
document.write( "2. h(x) = (x + 1)2 – 2 <BR>\n" );
document.write( "3. h(x) = (x - 2)2 - 1  <BR>\n" );
document.write( "4. h(x) = (x - 1)2 – 2<BR>\n" );
document.write( "5. h(x) = (x + 2)2 + 1                     <BR>\n" );
document.write( "6. h(x) = (x + 1)2 + 2<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 #480798 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=480798\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The vertex is right there, in front of your eyes.<BR>\n" );
document.write( "I'll show you how to look for it.<BR>\n" );
document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29+=+%28x+%2B+2%29%5E2+%96+1+ ALIGN=MIDDLE  ALT=\"h%28x%29+=+%28x+%2B+2%29%5E2+%96+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "because then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2=0%5E2=0 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2=0%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "For all other values of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2%3E0 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29+=+%28x+%2B+2%29%5E2+%96+1%3E-2+ ALIGN=MIDDLE  ALT=\"h%28x%29+=+%28x+%2B+2%29%5E2+%96+1%3E-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So (-2,-1), with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-2%2B2%29%5E-1=-1 ALIGN=MIDDLE  ALT=\"y=%28-2%2B2%29%5E-1=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the minimum and the vertex.<BR>\n" );
document.write( " <BR>\n" );
document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29+=+%28x+%2B+1%29%5E2+%96+2 ALIGN=MIDDLE  ALT=\"h%28x%29+=+%28x+%2B+1%29%5E2+%96+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > has a minimum and vertex at (-1,-2), because <BR>\n" );
document.write( "when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29=%28x+%2B+1%29%5E2+%96+2 ALIGN=MIDDLE  ALT=\"h%28x%29=%28x+%2B+1%29%5E2+%96+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > takes the minimum value<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29=%28-1+%2B+1%29%5E2+%96+2=0%5E2-2=-2 ALIGN=MIDDLE  ALT=\"h%28x%29=%28-1+%2B+1%29%5E2+%96+2=0%5E2-2=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "3. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29+=+%28x+-+2%29%5E2+-+1 ALIGN=MIDDLE  ALT=\"h%28x%29+=+%28x+-+2%29%5E2+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > has a maximum and vertex at (2,-1).<BR>\n" );
document.write( " <BR>\n" );
document.write( "4. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29+=+%28x+-+1%29%5E2+%96+2 ALIGN=MIDDLE  ALT=\"h%28x%29+=+%28x+-+1%29%5E2+%96+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > has a maximum and vertex at (1,-2)<BR>\n" );
document.write( " <BR>\n" );
document.write( "5. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29+=+%28x+%2B+2%29%5E2+%2B+1 ALIGN=MIDDLE  ALT=\"h%28x%29+=+%28x+%2B+2%29%5E2+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > has a maximum and vertex at (-2,1)<BR>\n" );
document.write( " <BR>\n" );
document.write( "6. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29+=+%28x+%2B+1%29%5E2+%2B+2 ALIGN=MIDDLE  ALT=\"h%28x%29+=+%28x+%2B+1%29%5E2+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > has a maximum and vertex at (-1,2)<BR>\n" );
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document.write( "NOTES:<BR>\n" );
document.write( "If you had a minus sign in front of that square, as in<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-2%28x-3%29%5E2%2B4 ALIGN=MIDDLE  ALT=\"f%28x%29=-2%28x-3%29%5E2%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > the vertex, at (3,4) in this case, would be a maximum, because for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E3 ALIGN=MIDDLE  ALT=\"x%3C%3E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%28x-3%29%5E2%3C0 ALIGN=MIDDLE  ALT=\"-2%28x-3%29%5E2%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29=-2%28x-3%29%5E3%2B4%3C4=h%283%29 ALIGN=MIDDLE  ALT=\"h%28x%29=-2%28x-3%29%5E3%2B4%3C4=h%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "When they give you the function as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29=x%5E2%2B2x%2B3 ALIGN=MIDDLE  ALT=\"h%28x%29=x%5E2%2B2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > you will have to transform it to the form given above<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29=x%5E2%2B2x%2B3=x%5E2%2B2x%2B1%2B2=%28x+%2B+1%29%5E2+%2B+2 ALIGN=MIDDLE  ALT=\"h%28x%29=x%5E2%2B2x%2B3=x%5E2%2B2x%2B1%2B2=%28x+%2B+1%29%5E2+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find the vertex.<BR>\n" );
document.write( " <BR>\n" );
document.write( "You an write your exponents with a \"^\" in front, as in<BR>\n" );
document.write( "h(x) = (x + 1)^2 + 2 , and everyone will know you mean <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29+=+%28x+%2B+1%29%5E2+%2B+2 ALIGN=MIDDLE  ALT=\"h%28x%29+=+%28x+%2B+1%29%5E2+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );