Question

Each statement describes a transformation of the graph of F(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x) - 3?

Answer 1

Answer: B) Shift 3 units down

Recall that y = f(x) as both describe outputs of a function. The same applies for g(x) as well. Saying f(x)-3 means y-3. So we're subtracting 3 from the y coordinate of each point. A point like (1,5) moves to (1,2). Doing this to all points on f(x) will move the entire curve down 3 units.