document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1069126>Question 1069126</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help me solve by completing the square to change the form of the function\r<BR>\n" );
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document.write( "f(x) = -2x^2-2x+2\r<BR>\n" );
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document.write( "State the Vertex\r<BR>\n" );
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document.write( "State the Point on the line (x,y) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #684363 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=684363\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+-2x%5E2+-+2x+%2B+2+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+-2x%5E2+-+2x+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When the equation has the form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,then the<BR>\n" );
document.write( "formula for the x-value of the  vertex is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bv%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+x%5Bv%5D+=+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bv%5D+=+-%28-2%29+%2F+%28+2%2A%28-2%29+%29+ ALIGN=MIDDLE  ALT=\"+x%5Bv%5D+=+-%28-2%29+%2F+%28+2%2A%28-2%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bv%5D+=+-1%2F2+ ALIGN=MIDDLE  ALT=\"+x%5Bv%5D+=+-1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "plug this result back into equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+-2x%5E2+-+2x+%2B+2+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+-2x%5E2+-+2x+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+-2%2A%28-1%2F2%29%5E2+-+2%2A%28-1%2F2%29+%2B+2+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+-2%2A%28-1%2F2%29%5E2+-+2%2A%28-1%2F2%29+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+-2%2A%281%2F4%29+%2B+1+%2B+2+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+-2%2A%281%2F4%29+%2B+1+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+-1%2F2+%2B+3+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+-1%2F2+%2B+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+2+%2B+1%2F2+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+2+%2B+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+5%2F2+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+5%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "The vertex is at ( -1/2, 5/2 )<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-6%2C+5%2C+-10%2C+5%2C+-2x%5E2+-+2x+%2B+2+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-6%2C+5%2C+-10%2C+5%2C+-2x%5E2+-+2x+%2B+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );