Question

Which statement about f(x) and its translation, g(x), is true? The domain of g(x) is {x | x > 6}, and the domain of f(x) is {x | x > 0}. The domain of g(x) is {y | y > 0}, and the domain of f(x) is {y | y > 6}. The asymptote of g(x) is the asymptote of f(x) shifted six units down. The asymptote of g(x) is the asymptote of f(x) shifted six units up.

Answer 1

The correct statement about f(x) is the asymptote of g(x) is the asymptote of f(x) shifted six units up.

The given functions are;

F(x) = 7x

g(x) = 7x + 6

Parent function

A parent function is the simplest function that still satisfies the definition of a certain type of function.

We can see that 6 has been added to the function f(x) to get the function g(x).

We know that when we add some constant 'c' in the function then the function gets shifted upward by 'c' units.

Therefore, we will get g(x), when we will shift f(x) upward by 6 units.

Both functions are linear functions hence, the asymptote of g(x) is the asymptote of f(x) shifted six units up.

Hence, the correct statement about f(x) is the asymptote of g(x) is the asymptote of f(x) shifted six units up.

To know more about the parent function click the link given below.

https://brainly.com/question/18599661

Answer 2

Answer:

d The asymptote of g(x) is the asymptote of f(x) shifted six units up.

Step-by-step explanation: