SOLUTION: Write a quadratic equation that opens up and has an axis of symmetry at x=0. Thank You.

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Question 714926: Write a quadratic equation that opens up and has an axis of symmetry at x=0. Thank You.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
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.

So say a = 3 and b = 5 which gives us y+=+3x%5E2%2B5

The equation y+=+3x%5E2%2B5 has an axis of symmetry at x=0.

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.