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

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

and

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

Observe that,

is a perfect square trinomial.

The vertex form is

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

fa tha first one you gonna add y to both sides

it look like this

x-y+y=6+y

x=y+6

therefore your answer is

x =y+6

fa tha second one

you gonna flip tha equation

it gonna look like x-4y=y

then add 4 to both sides

it gonna look like tha

x-4 +4 =y +4

so therefore tha answer is x=y+4

step-by-step explanation: