SOLUTION: How will the graph of 1/2x^2+3 change if the coefficient of x^2 becomes 2?

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Question 596265: How will the graph of 1/2x^2+3 change if the coefficient of x^2 becomes 2?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How will the graph of 1/2x^2+3 change if the coefficient of x^2 becomes 2?
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y = (1/2)x^2+3 is a relatively flat curve.
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y = 2x^2+3 rises and falls more precipitously.
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cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Here are plots of
+%281%2F2%29%2Ax%5E2+%2B+3+ and
+2x%5E2+%2B+3+

The plot is 4 times narrower since +2+=+4%2A%281%2F2%29+
For the same +x+, +f%28x%29+ is about 4 times greater