Normal to a Shifted Vertical Parabola

Rarely Tested

Normal to a Shifted Vertical Parabola

For:

$$(x-h)^2=4a(y-k)$$

the normal at parameter $$t$$ is:

$$x-h=-t(y-k)+2at+at^3$$

Usage

- Used to obtain the normal directly for a translated vertical parabola.

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