document.write( "Question 71234: 2) For the function y = x2 - 4x - 5, perform the following tasks:
\n" ); document.write( "a) Put the function in the form y = a(x - h)2 + k.
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\n" ); document.write( "\n" ); document.write( "b) What is the equation for the line of symmetry for the graph of this function?
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\n" ); document.write( "\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)2 + k.
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\n" ); document.write( "\n" ); document.write( "Explanation of graphing. \r
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\n" ); document.write( "\n" ); document.write( "d) In your own words, describe how this graph compares to the graph of y = x2?\r
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Algebra.Com's Answer #50954 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
2) For the function y = x2 - 4x - 5, perform the following tasks:
\n" ); document.write( "a) Put the function in the form y = a(x - h)2 + k.
\n" ); document.write( "Answer:
\n" ); document.write( "Show work in this space
\n" ); document.write( "x^2-4x +? = y+5
\n" ); document.write( "Complete the square on the left side and keep the equation balanced.
\n" ); document.write( "x^2-4x+4 = y+5+4
\n" ); document.write( "Factor to get:
\n" ); document.write( "(x-2)^2 = y+9
\n" ); document.write( "y=(x-2)^2 - 9 \r
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\n" ); document.write( "\n" ); document.write( "b) What is the equation for the line of symmetry for the graph of this function?
\n" ); document.write( "Answer:
\n" ); document.write( "EQUATION: x=2 is the line of symmetry. \r
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\n" ); document.write( "\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)2 + k.
\n" ); document.write( "Show graph here. \r
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\n" ); document.write( "\n" ); document.write( "Explanation of graphing.
\n" ); document.write( "vertex is at (h,k); axis of symmetry is x=h; If a is positive the parabola
\n" ); document.write( "opens up; if a is negative the parabola opens down.\r
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\n" ); document.write( "\n" ); document.write( "d) In your own words, describe how this graph compares to the graph of y = x2?
\n" ); document.write( "Answer:
\n" ); document.write( "y=(x-2)^2 - 9
\n" ); document.write( "Start with y=x^2
\n" ); document.write( "the (x-2) moves the graph two to the right
\n" ); document.write( "the -9 moves all points of the graph 9 down\r
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\n" ); document.write( "Cheers,
\n" ); document.write( "stan H.
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