document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178185>Question 1178185</A>: <I><SPAN STYLE=\"word-break: break-all;\"> b Expand f(x) = (x − α) (x − β) and show that Δ = (α − β )^2\r<BR>\n" );
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document.write( " Hence show that the zeroes are x = α and x = β (as expected) and that the vertex is<BR>\n" );
document.write( "(α + β)/2, −((α − β)/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 #807476 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13195)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=807476\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "You don't tell us what your \"Δ\" is, so we don't know what we/you are supposed to do with this....<br><BR>\n" );
document.write( "If the function can be written as f(x) = (x-a)(x-b), then the zeros are a and b, and the symmetry of the graph tells us that the x coordinate of the vertex is (a+b)/2.  Then the y value of the vertex is the function evaluated at x=(a+b)/2, which is the expression shown.<br><BR>\n" );
document.write( "But because you haven't defined what \"Δ\" is, we don't know how to help you with your question.<br><BR>\n" );
document.write( " </SPAN>\n" );
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