document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=246203>Question 246203</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (a) Express the quadratic function in standard form.<BR>\n" );
document.write( "(b) Find its vertex and its x and y intercepts.<BR>\n" );
document.write( "(c) Sketch its graph.\r<BR>\n" );
document.write( "\n" );
document.write( "f(x) = 2X^2 + X - 6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #179842 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=179842\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a) Express the quadratic function in standard form.<BR>\n" );
document.write( "(b) Find its vertex and its x and y intercepts.<BR>\n" );
document.write( "Vertex occurs where x = -b/2a = -1/[2(2)] = -1/4<BR>\n" );
document.write( "The corresponding y-value is f(-1/4) = 2(-1/4)^2+(-1/4)-6 = -6 1/8<BR>\n" );
document.write( "Vertex: (-1/4 , -49/8)<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "(c) Sketch its graph. <BR>\n" );
document.write( "f(x) = 2X^2 + X - 6<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C2x%5E2%2B2-6%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C2x%5E2%2B2-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );