document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=317502>Question 317502</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the x-coordinate of the vertex, the y-coordinate of the vertex.\r<BR>\n" );
document.write( "\n" );
document.write( "f(x) = -2x^2 + 2x + 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #227378 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=227378\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find x, use x = -b/2a, where a = -2 and b = 2 taken from the given function.\r<BR>\n" );
document.write( "\n" );
document.write( "x = -2/2(-2)\r<BR>\n" );
document.write( "\n" );
document.write( "x = -2/-4\r<BR>\n" );
document.write( "\n" );
document.write( "x = 2/4\r<BR>\n" );
document.write( "\n" );
document.write( "x = 1/2\r<BR>\n" );
document.write( "\n" );
document.write( "To find the y-coordinate, replace x with 1/2 and solve for y.\r<BR>\n" );
document.write( "\n" );
document.write( "f(1/2) = -2(1/2)^2 + 2(1/2) + 3\r<BR>\n" );
document.write( "\n" );
document.write( "f(1/2) = -1/2 + 4\r<BR>\n" );
document.write( "\n" );
document.write( "f(1/2) = 7/2\r<BR>\n" );
document.write( "\n" );
document.write( "We know that f(x) = y.\r<BR>\n" );
document.write( "\n" );
document.write( "So, x = 1/2 and y = 7/2\r<BR>\n" );
document.write( "\n" );
document.write( "Done! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );