document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=436069>Question 436069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the quadratic function y+x^2+x-2<BR>\n" );
document.write( "Determine a)the y-intercept<BR>\n" );
document.write( "b) the axis of symmetry<BR>\n" );
document.write( "c)the x-intercepts<BR>\n" );
document.write( "d)the vertex<BR>\n" );
document.write( "use the informations above to sketch the graph of y=x^2+x-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #301698 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=301698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider the quadratic function y= x^2+x-2<BR>\n" );
document.write( "Determine <BR>\n" );
document.write( "a)the y-intercept<BR>\n" );
document.write( "Let x = 0, then y = -2<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "b) the axis of symmetry<BR>\n" );
document.write( "Complete the square:<BR>\n" );
document.write( "x^2+x+(1/2)^2 = y+2+(1/2)^2<BR>\n" );
document.write( "(x+(1/2))^2 = y+(9/4)<BR>\n" );
document.write( "Axis at x = -1/2<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "c)the x-intercepts<BR>\n" );
document.write( "Solve: x^2+x-2 = 0<BR>\n" );
document.write( "Factor: (x+2)(x-1) = 0<BR>\n" );
document.write( "x = 1 or x = -2<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "d)the vertex<BR>\n" );
document.write( "Use (x+(1/2))^2 = y+(9/4)<BR>\n" );
document.write( "Vertex at (-1/2,-9/4)<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "use the informations above to sketch the graph of y=x^2+x-2<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%2Cx%5E2%2Bx-2%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2%2Bx-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );