document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=53229>Question 53229</A>: <I><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" );
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document.write( "Show work in this space\r<BR>\n" );
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document.write( "b) 	What is the equation for the line of symmetry for the graph of this function?<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" );
document.write( "Show graph here. \r<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( "Thank You </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #35477 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=35477\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)  You need to make a perfect square trinomial in such a way that you don't change the value of the function.  Make sure that if you add anything you also take it away.  Right now this is the standard form of a parabola right now.<BR>\n" );
document.write( "a)<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=%28x%5E2-4x%29-5 ALIGN=MIDDLE  ALT=\"y=%28x%5E2-4x%29-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To find the number that makes a perfect square take <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2F2%29b%29%5E2 ALIGN=MIDDLE  ALT=\"%28%281%2F2%29b%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=%28%281%2F2%29%28-4%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28%281%2F2%29%28-4%29%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=%28-4%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"%28-4%2F2%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=%28-2%29%5E2 ALIGN=MIDDLE  ALT=\"%28-2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=4 Add 4 to the inside of the parenthesis and take 4 away from the outside of the parenthesis.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x%5E2-4x%2B4%29-5-4 ALIGN=MIDDLE  ALT=\"y=%28x%5E2-4x%2B4%29-5-4\"   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%5E2-4x%2B4%29-9 ALIGN=MIDDLE  ALT=\"y=%28x%5E2-4x%2B4%29-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now the parenthesis has a perfect square:<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( "Now this is the vertex form of a parabola!<BR>\n" );
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document.write( "b)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"y=a%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" > puts the parabolic function in a form that makes the vertex and the axis of symmetry easy to see.<BR>\n" );
document.write( "The vertex is (h,k) <BR>\n" );
document.write( "the axis of symmetry is x=h<BR>\n" );
document.write( "In our case h=2, so our axis of symmetry is x=2.<BR>\n" );
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document.write( "c) Plot the vertex and y intercept (if it's in a reasonable place), if your asked for more points add and take away 1 from the axis of symmetry and plu that into your function to find the y-values.<BR>\n" );
document.write( "Vertex=(2,-9)<BR>\n" );
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document.write( "y-int: y=(0-2)^2-9<BR>\n" );
document.write( "y=4-9=-5<BR>\n" );
document.write( "(0,-5)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-12%2C10%2Cy=%28x-2%29%5E2-9%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-12%2C10%2Cy=%28x-2%29%5E2-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "d) It's shifted right two units and down 9 units.  Observe:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-12%2C10%2Cy=%28x-2%29%5E2-9%2Cx%5E2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-12%2C10%2Cy=%28x-2%29%5E2-9%2Cx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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