document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=24421>Question 24421</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I can't seem to get this no matter how hard I try, think you can show me what I am doing wrong? I thank you in advance for using your own personal time to help an idiot like me.<BR>\n" );
document.write( "For the function y=x squared -4x-5, perform the following tasks:<BR>\n" );
document.write( "a) Put the function in the form y=a(x-h)squared+k.<BR>\n" );
document.write( "b) What is the line of symmetry?<BR>\n" );
document.write( "c)Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y=a(x-h)squared+k.<BR>\n" );
document.write( "d) How does this graph compare to the graph of y=x squared? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #13006 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=13006\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2+-4x+-5 ALIGN=MIDDLE  ALT=\"y+=+x%5E2+-4x+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "convert to the form <BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+a%28x+-+h%29%5E2+%2B+k ALIGN=MIDDLE  ALT=\"y+=+a%28x+-+h%29%5E2+%2B+k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I can factor the equation , but that doesn't help me. It factors to:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+5%29%28x+%2B+1%29 ALIGN=MIDDLE  ALT=\"%28x+-+5%29%28x+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I'll expand the form I'm trying to get it into<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+a%28x%5E2+-+2+%2A+h+%2A+x+%2B+h%5E2%29+%2B+k ALIGN=MIDDLE  ALT=\"y+=+a%28x%5E2+-+2+%2A+h+%2A+x+%2B+h%5E2%29+%2B+k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now I've got to make it fit equation (1)<BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+a%28x%5E2+-2%2A%282%29%2Ax+%2B+%282%29%5E2%29+-+9 ALIGN=MIDDLE  ALT=\"y+=+a%28x%5E2+-2%2A%282%29%2Ax+%2B+%282%29%5E2%29+-+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That will make this form equal equation (1), but I have to make a = 1<BR>\n" );
document.write( "equation (4) reduces to:<BR>\n" );
document.write( "(5) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28x+-+2%29%5E2++-+9 ALIGN=MIDDLE  ALT=\"y+=+%28x+-+2%29%5E2++-+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = 2<BR>\n" );
document.write( "k = -9<BR>\n" );
document.write( "a = 1<BR>\n" );
document.write( "what is the line of symmetry?<BR>\n" );
document.write( "On the line of symmetry, +x gives me the same y as -x.\r<BR>\n" );
document.write( "\n" );
document.write( "suppose the line of symmetry is x = 2, making y = -9<BR>\n" );
document.write( "Now lets make x = (2 + j) or x = (2 - j)<BR>\n" );
document.write( "(5) ends up looking like:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28%2Bj%29%5E2+-+9 ALIGN=MIDDLE  ALT=\"y+=+%28%2Bj%29%5E2+-+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-j%29%5E2+-+9 ALIGN=MIDDLE  ALT=\"y+=+%28-j%29%5E2+-+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "clearly the sign of j doesn't make a difference, so being on either side of<BR>\n" );
document.write( "x = 2 gives the same y.<BR>\n" );
document.write( "x = 2 is the axis of symmetry<BR>\n" );
document.write( "I guess the answer to (c) is that you can look at the equation and tell what <BR>\n" );
document.write( "the important features are.<BR>\n" );
document.write( "as for (d), put y = x into form (2), then<BR>\n" );
document.write( "h = 0<BR>\n" );
document.write( "k = 0<BR>\n" );
document.write( "a = 1<BR>\n" );
document.write( "The axis of symmetry is x = 0 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );