What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the function g(x) = (x – 4)2 + 2

4

Step-by-step explanation:

We are given that parent function

After translation of  parent function

We have to find the value of horizontal translation from parent function to the function g(x).

General equation of parabola  along y- axis

The vertex of function is at (h,k).

The given function is an equation of parabola along y-a xis.

By comparing given function with general equation of parabola then

The vertex of function f(x) is at (0,0).

The vertex of function g(x) is at (4,2).

Therefore, h of f(x) is shift towards right and then we get h of g(x) =4

Hence, the value 4 represents the horizontal transformation from the graph of the parent function f(x) to the  graph of the function g(x).

the circle one

(3x-8) or (3x+8)

step-by-step explanation: