document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1077977>Question 1077977</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 +7. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #692736 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=692736\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=x^2 has  an intercept at the origin (with multiplicity 2, meaning it has a \"bounce\" at that point.<BR>\n" );
document.write( "When the function is moved upward 7 units(+7) and the sign is changed to -x^2, it is concave upward, rather than downward, and now it will have two x-intercepts or roots, at (sqrt(7),0) and (-sqrt(7),0)<BR>\n" );
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