he 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.

Question

he 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.

Mercury · Answer

hm. as far as I know there's no easy way to do this without using software

plugging these into my ti-84 gives me

A = 0.125
B = 0
C = 15

so simply plug these into the function Ax^2 + Bx + C to get your function