document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=464434>Question 464434</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the function f(x)=-2(x+6)²+14 complete the following. Please show all of your work. <BR>\n" );
document.write( "(1)If ,fx=14 what is x ? <BR>\n" );
document.write( "(2)What point(s) from part (i) are on the graph of f? <BR>\n" );
document.write( "(3)List the x-intercepts, if any, of the graph of f. <BR>\n" );
document.write( "(4)List the y-intercept, if there is one, of the graph of f. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #318164 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=318164\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -2(x+6)^2 + 14 = 14\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -2(x+6)^2 = 0\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE (x+6)^2 = 0\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x = -6\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2. f(-6) = 14, so (-6, 14).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3. Set f(x) equal to 0:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -2(x+6)^2 + 14 = 0\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE (x+6)^2 = 7\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x+6 = \pm \sqrt{7}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x = -6 \pm \sqrt{7}\">, so x intercepts are <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?(-6 + \sqrt{7},0)\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?(-6 - \sqrt{7}, 0)\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4. Replace x with 0 to find the y-intercept.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f(0) = -2(0+6)^2 + 14 = -58\">, y-intercept is (0,-58). Note that polynomial functions are defined everywhere so the conditional \"if there is one\" is meaningless, all polynomial functions will have a y-intercept. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );