r- Adding multiple unrelated nonlinear fuctions (not fitted) to a scatterplot

Question

I have made a scatter plot of raw data. The equation for the quantile lines takes the form of y=10^a*x^b. (The equation for the quantile was log transformed and meaningless to the audience when viewed). How do I add this form of a function to the scatter plot of the raw data. I think this may be a matter of my not knowing the terminology to search for the right method.

Answer 1

a=1
b=2

curve(10^a*x^b,add =T,from=0,to=10)