document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77306>Question 77306</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ok i messed up on the other question i sent you guys.. I have one more for you to check.. if you would! THANK you SOOO MUCH!! \r<BR>\n" );
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document.write( "Use the quadratic form of completing the square to find the vertex of... <BR>\n" );
document.write( "f(x) = 2x^2 -4x + 5<BR>\n" );
document.write( "Factor out 2.. f (x) = 2(x^2-2x + 5/2)<BR>\n" );
document.write( "2(x^2-2x + 1 -1 + 5/2<BR>\n" );
document.write( "2(x^2 - 2x + 1 + 3/2)<BR>\n" );
document.write( "2([x-1]^2 + 3/2)<BR>\n" );
document.write( "f(x) = 2(x-1)^2 +3\r<BR>\n" );
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document.write( "Vertex: (1,3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55404 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=55404\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You did this perfectly. To check your work we can always graph these 2 equations. If you did everything right, then the 2 graphs should overlap each other\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x%5E2+-4x+%2B+5%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x%5E2+-4x+%2B+5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%5E2+-4x+%2B+5 ALIGN=MIDDLE  ALT=\"y=2x%5E2+-4x+%2B+5\"   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=+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2%28x-1%29%5E2+%2B3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2%28x-1%29%5E2+%2B3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%28x-1%29%5E2+%2B3 ALIGN=MIDDLE  ALT=\"y=2%28x-1%29%5E2+%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We can see that they are the same graph, so the answer is verified. </SPAN>\n" );
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