Quote:
Originally Posted by Qbot2640
My mistake...I had all three equations together, and grabbed your original as the "bottom". The top I got (as you corrected my missing decimal) is 0.0351x^2 + 1
The bottom I got was 0.0474x^2 -1
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The top equation
y = -0.0351x^2 + 1 is still not right (even with the required "
-" sign added back in

)
The bottom equation
y = -0.0474x^2 - 1 (with the "
-" sign added) is a very good approximation in the given range, but as you can see in the attached graph, it diverges outside that range.
Quote:
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I calculated two normal lines and found points that were 1 unit away from points on your given original.
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You've got the right general idea.
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Then calculated the quadratics...
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Hint#2: the top and bottom boundary curves are not true quadratics.