Question

f(x) = 7x

g(x) = 7x + 6

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

Reason: g(x) = f(x) + 6, so the graph of f is translated up 6 units. (Domains of both are all real numbers.)