Question

In which direction must the graph of Ax) = x be shifted to produce the graph of g(x) = f(x) - 4?

ОА. up
OB. down
O c. left and down
OD. right and up​

Answer 1

Answer: B. down

Explanation:

Translation rules:

For a function h(x):

1. h(x+c) is a left-shift by c units.
2. h(x-c) is a right-shift by c units.
3. h(x)+c is a up-shift by c units.
4. h(x)-c is a down-shift by c units.

Here, the graph of f(x) becomes the graph of g(x) =f(x)-4 which is similar to "h(x)-c".

That means , f(x) is shifted 4 units down to become g(x).

So, correct option : B. down