document.write( "Question 704015: Could you please help me on these last 5 questions that I can't seem to figure out?? \r
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document.write( "1. Find the maximum or minimum of the following quadratic function: y =x^2 - 10x + 25.\r
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document.write( "2. Find the maximum or minimum of the following quadratic function: y =x^2 - 2x - 48.\r
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document.write( "3. Find the maximum or minimum of the following quadratic function: y = x^2 - x - 56.\r
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document.write( "4. Find the maximum or minimum of the following quadratic function: y = 16x^2+ 40x + 25.\r
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document.write( "5. Find the maximum or minimum of the following quadratic function: y = x^2 - 16.\r
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Algebra.Com's Answer #433879 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! 1. Find the maximum or minimum of the following quadratic function: y =x^2 - 10x + 25. \n" ); document.write( "2. Find the maximum or minimum of the following quadratic function: y =x^2 - 2x - 48. \n" ); document.write( "3. Find the maximum or minimum of the following quadratic function: y = x^2 - x - 56. \n" ); document.write( "4. Find the maximum or minimum of the following quadratic function: y = 16x^2+ 40x + 25. \n" ); document.write( "5. Find the maximum or minimum of the following quadratic function: y = x^2 - 16. \n" ); document.write( "** \n" ); document.write( "All the problems above require the same method (completing the square) to solve. \n" ); document.write( "Standard form of equation for the problems: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex. \n" ); document.write( "If the lead coefficient is >0, parabola open up, and has a minimum. If lead coefficient <0, parabola open down, and has a maximum. The x-term of the vertex is the maximum or minimum value. \n" ); document.write( "I will do the first 2, and let you do the rest. \n" ); document.write( ".. \n" ); document.write( "1) y =x^2 - 10x + 25 \n" ); document.write( "completing the square \n" ); document.write( "y =(x^2-10x+25)-25 + 25 \n" ); document.write( "y=(x-5)^2+0 \n" ); document.write( "vertex: (5,0) \n" ); document.write( "minimum=0 \n" ); document.write( ".. \n" ); document.write( "2) y =x^2 - 2x - 48 \n" ); document.write( "completing the square \n" ); document.write( "y =(x^2-2x+1)-1-48 \n" ); document.write( "y=(x-1)^2-49 \n" ); document.write( "vertex: (1,-49) \n" ); document.write( "minimum=-49\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |