Question

If g(x) = f(x)- 2, how is the graph of f(x) translated to form the graph of g(x)?

Answer 1

Translated 2 units in the negative y-direction that is, shifted 2 left.

Step-by-step explanation

Assuming we have g(x) = f(x) + c

if c > 0, it means the curve f(x) is translated c units in the positive y-direction

if c < 0, it means the curve f(x) is translated c units in the negative y-direction

But from the question, we are given:

g(x) = f(x) - 2

That is c = -2, therefore c < 0

This shows that f(x) translated 2 units in the negative y-direction.

Hence, the graph of f(x) translated to form the graph of g(x) by 2 units in the negative y-direction that is, shifted 2 left.