document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=42982>Question 42982</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Determine the vertex of y=x^2-8x+22.\r<BR>\n" );
document.write( "\n" );
document.write( "2. If P(4,-5) is a point on the graph of the function y=f(x), find the corresponding point on the graph of y=2f(x-6).\r<BR>\n" );
document.write( "\n" );
document.write( "3. An object is projected upward from the top of a tower. Its distance in feet above the ground after t seconds is given by s(t)=-16t^2+64t+80. How many seconds will it take to reach ground level?\r<BR>\n" );
document.write( "\n" );
document.write( "4. Given f(x)=5x+7 and g(x) =x^2+7, find (g f)(x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29316 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=29316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Determine the vertex of y=x^2-8x+22. \r<BR>\n" );
document.write( "\n" );
document.write( "Put in vertex form by completing the square , as follows:<BR>\n" );
document.write( "x^2-8x+16=y-6<BR>\n" );
document.write( "(x+4)^2=y-6<BR>\n" );
document.write( "Vertex = (h,k) = (-4,6)<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "2. If P(4,-5) is a point on the graph of the function y=f(x), find the corresponding point on the graph of y=2f(x-6).\r<BR>\n" );
document.write( "\n" );
document.write( "Y get doubled and x moves 6 to the right so the point is (10,-10)<BR>\n" );
document.write( "---------------------------------------------------------- <BR>\n" );
document.write( "3. An object is projected upward from the top of a tower. Its distance in feet above the ground after t seconds is given by s(t)=-16t^2+64t+80. How many seconds will it take to reach ground level? \r<BR>\n" );
document.write( "\n" );
document.write( "Ground level means s=0.<BR>\n" );
document.write( "0=-16(t^2-4t-5)<BR>\n" );
document.write( "0=-16(t-5)(t+1)<BR>\n" );
document.write( "t=5 sec. (time when object is on the ground)<BR>\n" );
document.write( "-------------------------------------------------------<BR>\n" );
document.write( "4. Given f(x)=5x+7 and g(x) =x^2+7, find (g f)(x)\r<BR>\n" );
document.write( "\n" );
document.write( "g[f(x)]=g(5x+7)=(5x+7)^2+7=25x^2+70x+56<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );