For each of the given answer choices, substitute the x-value into the given equation f(x) = 3(1/4)^x and see the equation gives the same f(x), or y-value.
Remember f(x) is the same thing as y and so coordinates for a point are in problem is (x, f(x))
Let's try the first coordinate (-2, 48). The x-value given by the coordinate is -2 and the f(x) value is 48.
Substituting x as -2[tex]f(x) = 3( \frac{1}{4})^x \\
f(x) = 3 (\frac{1}{4})^{-2} \\
f(x) = 3* (\frac{4}{1})^2 = 48[/tex] into the equation,
This matches with the answer choice (-2, 48) so A should be correct.
But you can also check the other answer using the same process to make sure.
