document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=519484>Question 519484</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertex, x and y intercepts of the parabola given by the equation<BR>\n" );
document.write( "Y=3x2 -2x+1  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #345636 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=345636\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = 3x^2 -2x +1<BR>\n" );
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document.write( "Axis is symmetry = -b/2a = -(-2)/2(3) = 2/6 = 1/3<BR>\n" );
document.write( "x = 1/3<BR>\n" );
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document.write( "Vertex is point on the axis of symmetry defined by x=1/3<BR>\n" );
document.write( "y = 3(1/3)^2 - 2(1/3) + 1<BR>\n" );
document.write( "y = 3/9 - 2/3 +1<BR>\n" );
document.write( "y = 3/9 - 6/9 + 9/9<BR>\n" );
document.write( "y = 6/9 = 2/3<BR>\n" );
document.write( "(1/3, 2/3)<BR>\n" );
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document.write( "y-intercept occurs when x=0, which is 1.<BR>\n" );
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document.write( "The equation does not factor, so the quadratic equation may be tried.<BR>\n" );
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document.write( "For these solutions to exist, the discriminant b^2-4ac should not be a negative number.<BR>\n" );
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document.write( "In this case the discriminant is -8. That means that there are no solutions among real numbers.<BR>\n" );
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