document.write( "Question 714926: Write a quadratic equation that opens up and has an axis of symmetry at x=0. Thank You. \n" ); document.write( "

Algebra.Com's Answer #439036 by jim_thompson5910(35256) $\"\"$ $\"About$

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Anything of the form $\"y+=+ax%5E2%2Bc\"$ , where $\"a\"$ is a positive number and $\"c\"$ is any real number, fits this the criteria you set.\r
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\n" ); document.write( "\n" ); document.write( "So say a = 3 and b = 5 which gives us $\"y+=+3x%5E2%2B5\"$ \r
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\n" ); document.write( "\n" ); document.write( "The equation $\"y+=+3x%5E2%2B5\"$ has an axis of symmetry at x=0.\r
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\n" ); document.write( "\n" ); document.write( "This is because the axis of symmetry formula is x = -b/2a, but notice how b = 0. So x = -b/2a = 0/2(3) = 0/6 = 0, which shows that x = 0 is the axis of symmetry. \n" ); document.write( "

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