document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=542528>Question 542528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have to find the vertex, axis of symmetry, minimum or maximum value, and range of the parabola. the formula is y=ax^2+bx+c <BR>\n" );
document.write( "Question: y=2x^2-6x+3<BR>\n" );
document.write( "What i have so far:<BR>\n" );
document.write( "y=2x^2-6x+3<BR>\n" );
document.write( "-b/2a=-(-6)/2(2)=6/4=3/2<BR>\n" );
document.write( "y=2(3/2)^2-6(3/2)+3<BR>\n" );
document.write( "  2(9/4)-(-18)/2<BR>\n" );
document.write( "I am stuck, I'm not sure if im doing it right but if you could help explain it to me that would be awsome! thank you!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354631 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=354631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> equation is:<BR>\n" );
document.write( "y = 2x^2 - 6x + 3<BR>\n" );
document.write( "x value of min/max point is given by the equation x = -b/2a<BR>\n" );
document.write( "a = 2<BR>\n" );
document.write( "b = -6<BR>\n" );
document.write( "c = 3<BR>\n" );
document.write( "you were on the right track.<BR>\n" );
document.write( "x = 3/2<BR>\n" );
document.write( "substitute for x in the equation to get y = -3/2<BR>\n" );
document.write( "your min/max point is (x,y) = (3/2,-3/2)<BR>\n" );
document.write( "since the coefficient of the x^2 term is positive, then this is a min point.<BR>\n" );
document.write( "the axis of symmetry is the line x = 3/2.<BR>\n" );
document.write( "the domain of the parabola is x equal the set of all real numbers.<BR>\n" );
document.write( "the range of the parabola is y equal the set of all real number >= -3/2<BR>\n" );
document.write( "a graph of your equation is shown below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-5%2C5%2C-3%2C3%2C2x%5E2-6x%2B3%2C-3%2F2%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-5%2C5%2C-3%2C3%2C2x%5E2-6x%2B3%2C-3%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the value of x has no restrictions which is why we say the domain the equation equals the set of all real numbers.<BR>\n" );
document.write( "the value of y will never go below -3/2 but can go as high as it wants to based on the value of x which is why we say the range is equal to the set of all real numbers greater than or equal to -3/2.<BR>\n" );
document.write( "a horizontal line was drawn at -3/2 to show you that it is the minimum value that that the equation can generate. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );