1. Imagine two columns between which is hung a string. The hung string may be expressed graphically and mathematically as a parabola whose nature is exponential. If these columns are moved closer together or farther apart, the hung string becomes more loose or taut according to a trigonometric function both of the length of the string and the distance between the two columns. 1. What is this trigonometric function? 2. Create a general equation which can anticipate the mathematical expression of the parabola based on any combination of string lengths and column distances. 2. I am not sure of the relevant equations but I believe the nature of the string behaves according to a hyperbolic trigonometric function. 3. I lack the mathematical aptitude and relevant physics knowledge to provide an attempted solution. Thank you for your help and guidance. Please see my attached photo showing my attempt to visually reproduce this phenomenon.