document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=33804>Question 33804</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this question: Name the x-intercepts and the vertex of the graph of y=(x+3)(x-1). Then sketch the graph of the function. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #20197 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=20197\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find the x-intercepts, let y=0 and solve for \"x\", as follows:<BR>\n" );
document.write( "0=(x+3)(x-1)<BR>\n" );
document.write( "Since the product is zero one of the factors is zero.<BR>\n" );
document.write( "If x+3=0 then x=-3<BR>\n" );
document.write( "If x-1=0 then x=1<BR>\n" );
document.write( "x-intercepts are (-3,0) and (1,0)<BR>\n" );
document.write( "VERTEX:<BR>\n" );
document.write( "Rewrite the equation as follows:<BR>\n" );
document.write( "y=x^2+2x-3<BR>\n" );
document.write( "Complete the square, as follows:<BR>\n" );
document.write( "y+3=x^2+2x<BR>\n" );
document.write( "y+3+1=x^2+2x+1<BR>\n" );
document.write( "y+4=(x+1)^2<BR>\n" );
document.write( "Vertex is at x=-1, y=-4<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );