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

The answer is 4

Step-by-step explanation:

so we know that this equation is in vertex form: y=a (x-h) + k where (h, k) is the vertex. The (-h) part is responsible for the horizontal translation of the graph. if h is (-), the graph moves h units left. If h is (+), the graph moves h units right. In this case, the graph moves 4 units to the right compared to the parent graph because h is positive.

The graph of the function g (x) = (x - 4) ^2 + 2 is 4 units to the right of the function f (x) = x^2.

Hence, the horizontal translation of the function f (x) = x^2 to the function g (x) = (x - 4) ^2 + 2 is + 4.

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

the answer is D