document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85097>Question 85097</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a question that states:<BR>\n" );
document.write( "a)  use the transformations on the graph of y=x^2 to determine the graph of y=(x+5)^2-9.<BR>\n" );
document.write( "b)  using the graph of f(x)=x^2 as a guide, graph the function g(x)=(x+4)^2+2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61321 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=61321\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)  use the transformations on the graph of y=x^2 to determine the graph of y=(x+5)^2-9.<BR>\n" );
document.write( "b)  using the graph of f(x)=x^2 as a guide, graph the function g(x)=(x+4)^2+2<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Sketch the graph of y=x^2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------<BR>\n" );
document.write( "a) The (x+5) in place of x shifts the y=x^2 five units to the left.<BR>\n" );
document.write( "   the -9 moves the resulting graph nine units down.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28x%2B5%29%5E2-9%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28x%2B5%29%5E2-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "b) The (x+4) in place of x shifts the y=x^2 four units to the left.<BR>\n" );
document.write( "   the +2 moves the resulting graph two units up.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28x%2B4%29%5E2%2B2%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28x%2B4%29%5E2%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );