Answer:
B, Right by 4 units
Step-by-step explanation:
we want to factor g(x), and the factorization of that would be (x - 4)² as its a perfect square trinomial
when translating on a graph, we determine the translation. the translation of g(x) is a horizontal shift 4 units to the right, as we are subtracting 4. if it was adding 4, we would be shifting to the left 4 units
ANSWER
Right by 4 units
EXPLANATION
The given functions are
[tex]f(x) = {x}^{2} [/tex]
and
[tex]g(x) = {x}^{2} - 8x + 16[/tex]
To obtain how much f(x) is shifted to obtain g(x), we need to rewrite g(x) in vertex form.
Observe that,
[tex]g(x) = {x}^{2} - 8x + ( - 4) ^{2} [/tex]
is a perfect square trinomial.
The vertex form is
[tex]g(x) = {(x - 4)}^{2} [/tex]
When f(x) is shifted 4 units to the right, we obtain g(x).
