Question

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

Write the quadratic function that corresponds to the given table of values in standard form, f(x) = ax2 + bx + c, where a, b and c are constants.

Answer 1

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

Answer 2

Hope I was able to help you