The correct Equation notation that is equivalent to the function is option A. (y = 2(x + 12).
The function (f(x) = 2(x + 12) can be written in equation notation as (y = 2(x + 12) because;
All other options differ from the original function f(x) = 2(x + 12) in some way.
B. y = 2x + 12 misses the constant term "12" inside the parentheses.
C. y = 2f(x) - 24 introduces a term "2f(x)" which applies the entire function f(x) to itself, changing the meaning.
D. y = 2f(x) - 12 also uses "2f(x)" and subtracts a different constant ("12" instead of "24").
Therefore, only option A directly translates the function definition f(x) = 2(x + 12) into equation notation with equivalent variables and expression. So, The correct option is: A. y = 2(x + 12)