Question

Functions f(x) and g(x) are shown below:

Answer 1

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 2

ANSWER

Right by 4 units

EXPLANATION

The given functions are

$f(x) = {x}^{2}$

and

$g(x) = {x}^{2} - 8x + 16$

To obtain how much f(x) is shifted to obtain g(x), we need to rewrite g(x) in vertex form.

Observe that,

$g(x) = {x}^{2} - 8x + ( - 4) ^{2}$

is a perfect square trinomial.

The vertex form is

$g(x) = {(x - 4)}^{2}$

When f(x) is shifted 4 units to the right, we obtain g(x).