Normal to a Shifted Horizontal Parabola

Rarely Tested

Normal to a Shifted Horizontal Parabola

For:

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

the normal at parameter $$t$$ is:

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

Usage

- Used to find normals to a translated horizontal parabola.

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