Question

Suppose that g(x) = f(x) - 3. Which statement best compares the graph of

g(x) with the graph of Rx)?

Answer 1

The graph of g(x) is a translation of f(x) 3 units down.

Explanation:

The given function is

`g(x) = f(x) - 3`

The parent function now is f(x).

The -3 tells us that there is a vertical translation of the parent function 3 units down.

Therefore the graph of g(x) is obtained by translating the graph of f(x) down by 3 units.