Answer:
g(x) = x^2 - 11x + 26
Explanation:
In translation of functions, adding a constant to the domain values (x) of a function will move the graph to the left, while subtracting from the input of the function will move the graph to the right.
Given the function;
f(x) = x2 - 3x - 2
a shift 4 units to the right implies that we shall be subtracting the constant 4 from the x values of the function;
g(x) = f(x-4)
g(x) = (x - 4)^2 - 3(x - 4) -2
g(x) = x^2 - 8x + 16 - 3x + 12 - 2
g(x) = x^2 - 11x + 26