Functions f(x) and g(x) are shown below. f(x) = x2. g(x) = x2 - 8x + 16. in which direction and by how many units should f(x) be shifted to obtain g(x)? a. left by 4 units
b. right by 4 units
c. left by 8 units
d. right by 8 units

Option B is correct.

Right by 4 units

Step-by-step explanation:

Given the function : and

Horizontal shift: Given a function f , a new function g(x) = f(x-h) , where h is constant is a horizontal shift of the function f.

* If h is positive, the graph will shift right.

* if h is negative, then the graph will shift left.

Take (x-4) common;

or

                   [ Using ]

Then, the function becomes;

g(x) =

A function g(x)= , this function comes from the parent function  with constant 4 subtract to it, this gives the horizontal shift right 4 units. so, take the parent function and shift 4 units right.

Therefore, a function f(x) be shifted right by 4 unit  to obtain g(x)