document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=958847>Question 958847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I was only able to work this problem out so far but I'm stuck.<BR>\n" );
document.write( "I need to convert a quadratic equation to a vertex form.<BR>\n" );
document.write( "y=-2x^2+2x+2<BR>\n" );
document.write( "y-2=-2x^2+2x<BR>\n" );
document.write( "y-2=-2(x^2-x)\r<BR>\n" );
document.write( "\n" );
document.write( "If you could help me finish converting it and explain each step it'd be appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #586021 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=586021\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation of a parabola can be expressed in either standard or vertex form<BR>\n" );
document.write( "--------------- <BR>\n" );
document.write( "standard form<BR>\n" );
document.write( "y = ax^2 +bx +c<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "vertex form<BR>\n" );
document.write( "y = a(x-h)^2 + k<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "we are given the standard form<BR>\n" );
document.write( "y = -2x^2 +2x +2<BR>\n" );
document.write( "the x coordinate for the vertex is<BR>\n" );
document.write( "x = -b/2a = -2 / (2*(-2)) = (1/2)<BR>\n" );
document.write( "the y coordinate of the vertex is<BR>\n" );
document.write( "y = (-2*(1/2)^2) +(2*(1/2)) +2<BR>\n" );
document.write( "y = -(1/2) + 1 +2 = 2.5<BR>\n" );
document.write( "therefore the vertex is (.5, 2.5) and h = .5, k = 2.5<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "the vertex form is<BR>\n" );
document.write( "y = -2(x-.5)^2 + 2.5<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );