If the three solutions of the equation f(x) = 0 are -2, 0, and 3, what are the three solutions of the equation f(x - 2) = 0?

Given that 0, -2, and 3 are the zeros of the function
f(x).

Then x, (x+2), and (x-3) are the factors of
f(x).

Then f(x) =
x(x-3)(x+2).

Now we need to find the solutions for
f(x-2)

Then, we will substitute with (x-2) in place of x
into the equation.

==> f(x-2) = (x-2) ( x-2 -3)
(x-2+2)

==> f(x-2) =
(x-2)(x-5)(x)

Then the zeros of f(x-2) are 2, 5, and
0

Then the solution for f(x-2) are 0, 2, and
5.