document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=364925>Question 364925</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertex and intercepts of the parabola.\r<BR>\n" );
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document.write( "y = -3x^2 + 6x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #260173 by </B><A HREF=/tutors/aboutme.mpl?userid=amoresroy><B>amoresroy(361)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amoresroy><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=amoresroy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=260173\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Vertex form of a parabola: y = a(x - h)^2 + k\r<BR>\n" );
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document.write( "Convert y = -3x^2 + 6x to vertex form of a parabola.\r<BR>\n" );
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document.write( "y = -3 (x^2 - 2x)\r<BR>\n" );
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document.write( "Completing the square\r<BR>\n" );
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document.write( "y = -3 (x^2 -2x + 1)- 1 + 3  \r<BR>\n" );
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document.write( "y = -3 (x - 1)^2 + 2\r<BR>\n" );
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document.write( "a = -3<BR>\n" );
document.write( "h = 1<BR>\n" );
document.write( "k = 2<BR>\n" );
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document.write( "Vertex: (1,2)<BR>\n" );
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document.write( "x-int.: y = 0 => 0 = -3x^2 + 6x<BR>\n" );
document.write( "3x^2 = 6x<BR>\n" );
document.write( "3x = 6<BR>\n" );
document.write( "x = 2<BR>\n" );
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document.write( "y-int.: x = 0 => y = y = -3(0)^2 + 6(0)<BR>\n" );
document.write( "y = 0\r<BR>\n" );
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document.write( "The vertex is at (1,2).  The x-intercept is 2 while the y-intercept is 0.<BR>\n" );
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