The temperature of a chemical compound, in degrees Celsius, changes when the compound is exposed to UV light. The table below shows the temperature of the compound, in degrees Celsius, x minutes after the compound is exposed to UV light.

x 0 2 4 6 8

f (x) 15 15.5 17 19.5 23

The temperature of the compound will follow this function: 1/8x^2+15 (I could be wrong).

But how did I come up with this function?

The standard of a quadratic equation is given ... the x is given ... the f (x) is given. Now plug these in correspondence to find the constants. The rest is algebra. If you are not getting this answer, let me see your work