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 unitsb. right by 4 unitsc. left by 8 unitsd. right by 8 units

B. Right by 4 units

Step-by-step explanation:

Let's start by expressing g(x) formula in a simpler form.  x² - 8x + 16 is quite easy to factor into (x - 4)²

so, we have g(x) = (x - 4)² and f(x) = x²

For which value of x will g(x) and f(x) = 0?

g(x) will equal 0 if x = 4

f(x) will equal 0 if x = 0

So, the difference is 4 units.  

Since f(x) would have to move from 0 to 4 to join g(x), the movement will be to the right.

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.