document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1087418>Question 1087418</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the standard form f(x)=a(x-h)^2+k of the quadratic function that has a vertex at (-1/4,-1/6) and x-intercept of -3/4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #701709 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=701709\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Find the standard form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=a%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"f%28x%29=a%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the quadratic function that has a vertex at\r<BR>\n" );
document.write( "\n" );
document.write( " (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F4 ALIGN=MIDDLE  ALT=\"-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F6 ALIGN=MIDDLE  ALT=\"-1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >) =><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=-1%2F4 ALIGN=MIDDLE  ALT=\"h=-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=-1%2F6 ALIGN=MIDDLE  ALT=\"k=-1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so far, equation is:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=a%28x-%28-1%2F4%29%29%5E2%2B%28-1%2F6%29 ALIGN=MIDDLE  ALT=\"f%28x%29=a%28x-%28-1%2F4%29%29%5E2%2B%28-1%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=a%28x%2B1%2F4%29%5E2-1%2F6 ALIGN=MIDDLE  ALT=\"f%28x%29=a%28x%2B1%2F4%29%5E2-1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "and if x-intercept of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F4+ ALIGN=MIDDLE  ALT=\"-3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3%2F4+ ALIGN=MIDDLE  ALT=\"x=-3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > when  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=0+ ALIGN=MIDDLE  ALT=\"f%28x%29=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "use it to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=a%28-3%2F4%2B1%2F4%29%5E2-1%2F6 ALIGN=MIDDLE  ALT=\"0=a%28-3%2F4%2B1%2F4%29%5E2-1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=a%28-2%2F4%29%5E2-1%2F6 ALIGN=MIDDLE  ALT=\"0=a%28-2%2F4%29%5E2-1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6=a%28-1%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"1%2F6=a%28-1%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6=a%281%2F4%29 ALIGN=MIDDLE  ALT=\"1%2F6=a%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=%281%2F6%29%2F%281%2F4%29 ALIGN=MIDDLE  ALT=\"a=%281%2F6%29%2F%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=%284%2F6%29 ALIGN=MIDDLE  ALT=\"a=%284%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=%282%2F3%29 ALIGN=MIDDLE  ALT=\"a=%282%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so, your equation is:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%282%2F3%29%28x%2B1%2F4%29%5E2-1%2F6 ALIGN=MIDDLE  ALT=\"f%28x%29=%282%2F3%29%28x%2B1%2F4%29%5E2-1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+600%2C+600%2C+-6%2C+6%2C+-6%2C+6%2C+%0D%0Acircle%28-1%2F4%2C-1%2F6%2C.06%29%2Clocate%28-1%2F4%2C-1%2F6%2CV%28-1%2F4%2C-1%2F6%29%29%2C%0D%0Acircle%28-3%2F4%2C0%2C.07%29%2Clocate%28-1.3%2C0.6%2Cp%28-3%2F4%2C0%29%29%2C%0D%0A+graph%28+600%2C+600%2C+-6%2C+6%2C+-6%2C+6%2C+%282%2F3%29%28x%2B1%2F4%29%5E2-1%2F6%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );