document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1055717>Question 1055717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In two or more complete sentences, 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) = -x^2 -5.<BR>\n" );
document.write( "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 #670918 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=670918\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In two or more complete sentences, 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) = -x^2 -5.<BR>\n" );
document.write( "Be sure to include the transformations that occurred between the parent function f(x) and its image g(x). <BR>\n" );
document.write( "----<BR>\n" );
document.write( "Since x^2 = 0 implies x = 0 with multiplicity 2, there is one x-intercept<BR>\n" );
document.write( "Since -x^2-5 = 0 implies x = +-sqrt(5)i, there are no x-intercepts<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Transformations:<BR>\n" );
document.write( "Reflect f(x) in the x-axis, <BR>\n" );
document.write( "then vertically shift the result down by 5 units,<BR>\n" );
document.write( "to get g(x).<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Cheers.<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------- </SPAN>\n" );
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