For which pair of functions is the vertex of g(x) 2 units to the right of the vertex of f(x)?
A. f(x) = x2 and g(x) = x2 + 2
B. f(x) = x2 and g(x) = x2 - 2
c. f(x) = x2 and g(x) = (x + 2)2
D. f(x) = x2 and g(x) = (x - 2)2

D

Step-by-step explanation:

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

• If a > 0 then shift left by a units

• If a < 0 then shift right by a units

Here the shift is 2 units to the right

Then

f(x) = x² and g(x) = (x - 2)² → D

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6