Question

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?

Answer 1

In the attached diagram you can see graphs of bpth functions f(x) {red curve} and g(x) {blue curve}. This graphs are the same, but the graph of the function g(x) is obtained from the graph of the function f(x) by translation 4 units right and 2 units up. Translation right is horizontal translation and translation up is vertical translation. Therefore, the value of the horizontal translation is 4.

Answer: 4.

Answer 2

The horizontal transformation is a translation to the right by 4 units

How to determine the horizontal transformation?

The functions are given as:

f(x) = x^2

g(x) = (x - 4)^2

The horizontal transformation affects only the x-coordinate

i.e. x -> x + b

So, we have:

x -> x - 4

The -4 means that the function f(x) is translated to the right by 4 units

Hence, the horizontal transformation is a translation to the right by 4 units

Read more about function transformation at:

https://brainly.com/question/4025726

#SPJ5