document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102747>Question 102747</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone please show me how to do this? Find the x-intercepts. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2%2B4x ALIGN=MIDDLE  ALT=\"y=x%5E2%2B4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74716 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=74716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An x-intercept is a point on the x-axis where the graph of the function crosses the x-axis.<BR>\n" );
document.write( "But any (x,y) point on the x-axis has zero as its y-value.  So to find the intercept<BR>\n" );
document.write( "points on the x-axis, set y equal to zero and solve for the corresponding values of x. So<BR>\n" );
document.write( "let's do that ... set y = 0 in the given function of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2+%2B+4x ALIGN=MIDDLE  ALT=\"y+=+x%5E2+%2B+4x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. When you do that<BR>\n" );
document.write( "you get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+x%5E2+%2B+4x ALIGN=MIDDLE  ALT=\"0+=+x%5E2+%2B+4x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Let's transpose this ... switch sides around ... to get it in the little more standard form<BR>\n" );
document.write( "of:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+4x+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+4x+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Since the two terms on the left side both contain x, we can factor an x from each of the<BR>\n" );
document.write( "terms to make the equation become:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A%28x+%2B+4%29+=+0 ALIGN=MIDDLE  ALT=\"x%2A%28x+%2B+4%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This equation will be true if either one of the factors equals zero because multiplying<BR>\n" );
document.write( "the left side by zero will make it equal the right side which is zero.<BR>\n" );
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document.write( "So the equation will be true if either x = 0 or x + 4 = 0. In the second factor this means<BR>\n" );
document.write( "that x = -4. Since we already know that y is zero for these two values, the x-intercept <BR>\n" );
document.write( "points are (0, 0) and (-4, 0).<BR>\n" );
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document.write( "That's all there is to it. <BR>\n" );
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document.write( "Hope this helps you to understand that to find x-intercepts you set y equal to zero and solve<BR>\n" );
document.write( "for the corresponding values of x.<BR>\n" );
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