document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=116774>Question 116774</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the coordinates of the vertex: y=-2(x+2)^2 +2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #84895 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=84895\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the quadratic is in vertex form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"a%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" > where (h,k) is the vertex, we can use this general formula to find the vertex of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2%28x%2B2%29%5E2+%2B2 ALIGN=MIDDLE  ALT=\"y=-2%28x%2B2%29%5E2+%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2%28x%2B2%29%5E2+%2B2 ALIGN=MIDDLE  ALT=\"y=-2%28x%2B2%29%5E2+%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2%28x-%28-2%29%29%5E2+%2B2 ALIGN=MIDDLE  ALT=\"y=-2%28x-%28-2%29%29%5E2+%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite +2 as -(-2)\r<BR>\n" );
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document.write( "Notice how h=-2 and k=2. So the vertex is (-2,2)\r<BR>\n" );
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document.write( "Notice if you graph the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2%28x%2B2%29%5E2+%2B2 ALIGN=MIDDLE  ALT=\"y=-2%28x%2B2%29%5E2+%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > you can see that the vertex is (-2,2). So this verifies our answer.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28900%2C900%2C-11%2C9%2C-9%2C11%2C%0D%0Agrid%28+1+%29%2C%0D%0Agraph%28900%2C900%2C-11%2C9%2C-9%2C11%2C+-2%28x%2B2%29%5E2+%2B2%29%2C%0D%0A%0D%0Acircle%28-2%2C2%2C0.05%29%2C%0D%0Acircle%28-2%2C2%2C0.08%29%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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