Question

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)?
Left by 4 units
Right by 4 units
Left by 8 units
Right by 8 units

Answer 1

Explain the answer plz

Answer 2

b

Answer 3

Explain why please

Answer 4

I think it shifts the right by 4 units.

(a-b)^2=a^2-2ab+b^2

x^2 - 8x + 16 (same with a=x and b=4)
x^2 - 8x + 16= (x-4)^2
So the shift from x^2 is by 4 units.