Consider the following equation:
$$\frac{1}{2} (1 -\tanh[2(x-100)])$$
How can I modify the equation to adjust the steepness of the vertical-ish section centered about the line $x=100$? That is, how can I make the blue curve look more like the dark red curve, or vis versa.
Instead of $$ y= \frac{1}{2}(1-\tanh{\left(2[x-100]\right)}) $$ make it $$ y= \frac{1}{2}(1-\tanh{\left(\alpha[x-100]\right)}) $$ and adjust the value of $\alpha$. Done.