Which function is a transformation of the function ƒ(x) = x³?

To determine which function is a transformation of \( f(x) = x^3 \), we need to analyze the given options:

1. Option 1: \( t(x) = x^3 - 2 \)

   This function involves the original function \( f(x) = x^3 \) with a vertical shift downward by 2 units. Therefore, it is a transformation of \( f(x) \).

2. Option 2: \( m(x) = x^2 \)

   This function is a different type of function (a quadratic function) and does not represent a transformation of \( f(x) = x^3 \).

3. Option 3: \( z(x) = 2x \)

   This function is a linear transformation and does not correspond to \( f(x) = x^3 \).

Based on the analysis above, the function that is a transformation of the function \( f(x) = x^3 \) is:

Option 1: \( t(x) = x^3 - 2 \).