Question

Given that (-1,7) is on the graph of f(x), find

the corresponding point for the function
f(x + 3).

Answer 1

(-4, 7)

Explanation:

f (x) + n shifts the function n units upward.

f (x) – n shifts the function n units downward.

f (x + n) shifts the function n units to the left.

f (x – n) shifts the function n units to the right.

We have f(x + 3) - shift the function 3 units to the left (we reduce x by 3).

Therefore y is not change (y = 7) and x = -1 - 3 = -4