document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=948282>Question 948282</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Finding the vertex and x and y intercepts of: G(t)=1/2(t^2-4t)?\r<BR>\n" );
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document.write( "I know I can turn this into vertex form like so: <BR>\n" );
document.write( "G(t)=1/2(t^2-4t+4)-4 <BR>\n" );
document.write( "G(t)=1/2(t-2)^2-4 <BR>\n" );
document.write( "so then the vertex would be <BR>\n" );
document.write( "(2,-4) but graphing it online it states that the vertex is:(2,-2) what am I missing here? what makes it a -2 instead of a -4? \r<BR>\n" );
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document.write( "Please also explain how to find the x and y intercepts thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578780 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=578780\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When you added the 4 in the parentheses, you were really adding <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%294=2 ALIGN=MIDDLE  ALT=\"%281%2F2%294=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Well you subtracted 4 but it should have been 2.<BR>\n" );
document.write( "So,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=G%28t%29=%281%2F2%29%28t%5E2-4t%2B4%29-2 ALIGN=MIDDLE  ALT=\"G%28t%29=%281%2F2%29%28t%5E2-4t%2B4%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=G%28t%29=%281%2F2%29%28t-2%29%5E2-2 ALIGN=MIDDLE  ALT=\"G%28t%29=%281%2F2%29%28t-2%29%5E2-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "X-intercepts: Set <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > solve for <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=0=%281%2F2%29%28t%5E2-4t%29 ALIGN=MIDDLE  ALT=\"0=%281%2F2%29%28t%5E2-4t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=%281%2F2%29%28t%28t-4%29%29 ALIGN=MIDDLE  ALT=\"0=%281%2F2%29%28t%28t-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=0 ALIGN=MIDDLE  ALT=\"t=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=4 ALIGN=MIDDLE  ALT=\"t=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > are the x-intercepts (or the t-intercepts).<BR>\n" );
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document.write( "Y-intercept : Set <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=0 ALIGN=MIDDLE  ALT=\"t=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-2%2C6%2C-4%2C4%2Cgrid%281%29%2Ccircle%280%2C0%2C0.2%29%2Ccircle%284%2C0%2C0.2%29%2Ccircle%282%2C-2%2C0.2%29%2Cgraph%28300%2C300%2C-2%2C6%2C-4%2C4%2C%281%2F2%29%28x%5E2-4x%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );