F (x) = x2 - 3x - 2 is shifted 4 units right. The result is g (x). What is g (x) ?

g (x) = x^2 - 11x + 26

Step-by-step 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

g (x) = (x+4) ^2 - 3x - 2

Step-by-step explanation:

A p e x