I'm sorry I don't know all the right words to ask…I am a working professional that finished all my math courses decades ago!
I am trying to develop a metric score card for my company's information security program. I want to gradually increase a score (y value) as more and more devices are out of compliance (x value). In short, I am looking for the function of a curve that starts a 0,0 and goes at least to (or crosses over) 100,100 – where the curve looks somewhat like a quarter circle – like this.
I feel like the following function is close, but the line is almost linear as the x value increases, which is not what I want.
$y=(x^2/100)$
Best Answer
The equation of the quarter-circle like in your picture is $$y=100-\sqrt{100^2-x^2}$$