document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=884089>Question 884089</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the given function, (a) determine whether the graph opens upward or downward, (b) find the axis of symmetry, (c) find the vertex, (d) find the y-intercept, and (e) graph the function.\r<BR>\n" );
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document.write( "Equation: g(x) = 3x² + 2x – 8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #534046 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=534046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the given function, (a) determine whether the graph opens upward or downward, (b) find the axis of symmetry, (c) find the vertex, (d) find the y-intercept, and (e) graph the function. <BR>\n" );
document.write( "Equation: g(x) = 3x² + 2x – 8<BR>\n" );
document.write( "***<BR>\n" );
document.write( "y=3x^2+2x-8<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "y=3(x^2+(2/3)x+1/9)-1/3-8<BR>\n" );
document.write( "y=3(x+1/3)^2-25/3<BR>\n" );
document.write( "parabola opens upward<BR>\n" );
document.write( "vertex: (-1/3,-25/3)<BR>\n" );
document.write( "axis of symmetry: x=-1/3<BR>\n" );
document.write( "y-intercept: (0,-8)<BR>\n" );
document.write( "See graph below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+3x%5E2%2B2x-8%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+3x%5E2%2B2x-8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );