document.write( "Question 71677: 2) For the function y = x2 - 4x - 5, perform the following tasks:
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document.write( "a) Put the function in the form y = a(x - h)2 + k.
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document.write( "b) What is the equation for the line of symmetry for the graph of this function?
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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.
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document.write( "Explanation of graphing. \r
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document.write( "d) In your own words, describe how this graph compares to the graph of y = x2?\r
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document.write( "Answer:
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Algebra.Com's Answer #51281 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 2) For the function y = x^2 - 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( "x^2-4x+4 = y+5+4 \n" ); document.write( "(x-2)^2 = y+9 \n" ); document.write( "y=(x-2)^2-9 \n" ); document.write( "-----------\r \n" ); document.write( " \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( "Axis of symmetry x=2\r \n" ); document.write( " \n" ); document.write( " \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. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Explanation of graphing. \n" ); document.write( "Vertex is at (h,k), If a>0 the parabola opens up; if a<0 it opens down. \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \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( "Start with graph of y=x^2 \n" ); document.write( "(x-2) moves all the points 2 to the right. \n" ); document.write( "When x=2, y=-9; -9 moves all the points 9 down. \n" ); document.write( "======== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |