document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=43548>Question 43548</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321279085/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 2. For the function y =  x² - 4x - 5, perform the following tasks:\r<BR>\n" );
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document.write( "a)Put the function in the form y = a(x - h)² + k.<BR>\n" );
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document.write( "b)What is the line of symmetry?<BR>\n" );
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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)² + k.<BR>\n" );
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document.write( "Explanation of graphing. \r<BR>\n" );
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document.write( "d)In your own words, describe how this graph compares to the graph of y = x²?\r<BR>\n" );
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document.write( "Answer:	\r<BR>\n" );
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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 #28545 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=28545\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2. For the function y = x² - 4x - 5, perform the following tasks: <BR>\n" );
document.write( "a)Put the function in the form y = a(x - h)² + k.<BR>\n" );
document.write( "<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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%2B+5+=+x%5E2+-+4x ALIGN=MIDDLE  ALT=\"y+%2B+5+=+x%5E2+-+4x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%2B+5+%2B+4+=+%28x+-+2%29%5E2 ALIGN=MIDDLE  ALT=\"y+%2B+5+%2B+4+=+%28x+-+2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<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( "b)What is the line of symmetry?<BR>\n" );
document.write( "Axis of Symmetry: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+h ALIGN=MIDDLE  ALT=\"x+=+h\"   DISABLED_style= \"max-width:90%; height:auto;\" > so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2 ALIGN=MIDDLE  ALT=\"x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ")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)² + k.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2+-+4x+-+5+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2+-+4x+-+5+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You have the value <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > to determine<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p ALIGN=MIDDLE  ALT=\"p\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Latus Rectum, and direction of opening. Also, vertex form tells you the vertex (h,k).<BR>\n" );
document.write( "d)In your own words, describe how this graph compares to the graph of y = x²?<BR>\n" );
document.write( "They both are vertical parabolas, and they open upward. </SPAN>\n" );
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