document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129101>Question 1129101</A>: <I><SPAN STYLE=\"word-break: break-all;\"> compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in the graph of g(x) = -x2 -5. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #745646 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=745646\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> compare the number of x-intercepts in the graph of f(x) = x^2 to the number of x-intercepts in the graph of g(x) = -x2 -5. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).<BR>\n" );
document.write( "Starting with f(x) = x^2<BR>\n" );
document.write( "Multiply by -1 to get h(x) = -x^2 which is a reflection in the x-axis<BR>\n" );
document.write( "Subtract 5 to get g(x) = -x^2-5 which moves h(x) down 5 units.<BR>\n" );
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document.write( "f(x) = x^2 touches the x-axis at x = 0<BR>\n" );
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document.write( "g(x) does not touch the x-axis<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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