The function f (x) = x^2 - 4 is translated 3 units to the right to create function g (x). What is g (9) ?

g (9) = 32

Step-by-step explanation:

Given f (x) then f (x + a) is a horizontal translation of f (x)

• If a > 0 then shift to the left of a units

• If a < 0 then shift to the right of a units

Here f (x) is translated 3 units right, thus

g (x) = (x - 3) ² - 4, hence

g (9) = (9 - 3) ² - 4 = 6² - 4 = 36 - 4 = 32