document.write( "Question 367153: Hello, I have to use 'completing the square' to put this equation into standard form, find the vertex, x- and y-intercepts. \r
\n" ); document.write( "\n" ); document.write( " $\"2x%5E2%2B16x%2B9\"$ \r
\n" ); document.write( "\n" ); document.write( "I completed the square like this:\r
\n" ); document.write( "\n" ); document.write( " $\"2x%5E2%2B16x%2B9\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2+%2B+8x+=+%28-9%2F2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2B8x%2B16=%2823%2F2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%2B4=sqrt%2823%2F2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=-4\"$ +/- $\"sqrt%2823%2F2%29\"$ \r
\n" ); document.write( "\n" ); document.write( "From here, I'm not sure how to put in standard form, but I know that once I have it in standard form, the vertex is (h,k).\r
\n" ); document.write( "\n" ); document.write( "Didn't I also find the x-intercept when I made the equation equal to zero to complete the square?\r
\n" ); document.write( "\n" ); document.write( "I plugged 0 in for x and solved for y to get y-intercept = 9.\r
\n" ); document.write( "\n" ); document.write( "If you could please show me how to finish completing the square to put in standard form, and also how I find the x-intercept I would greatly appreciate it! Thanks so much for your valuable time :) \n" ); document.write( "

Algebra.Com's Answer #261762 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


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document.write( "Hi, 
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document.write( "Not sure exactly what the focus is here:
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document.write( "finding the vertex
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document.write( "The vertex form of a parabola,  where(h,k) is the vertex
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document.write( "y = 
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document.write( "y = 2[(x^2 + 8x + 9/2)]
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document.write( "y = 2[(x+4)^2 -16 + 9/2)]
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document.write( "y = 2(x+4)^2 + 2*(-23/2)
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document.write( "y = 2(x+4)^2 - 23
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document.write( "vertex (-4,-23)\r
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