Question

Select the correct answer. 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? A.It is the graph of f(x) translated 3 units down. B.It is the graph of f(x) translated 3 units to the left. C.It is the graph of f(x) where the slope is decreased by 3. D. It is the graph of f(x) translated 3 units up.​

Answer 1

Answer: Choice A) translated 3 units down

Step-by-step explanation:

x is the input while y = f(x) is the output. If we say f(x) - 3, then it's the same as saying y - 3. This means g(x) = f(x) - 3 subtracts 3 from each y coordinate of the points on f(x). This visually moves the entire f(x) curve down 3 units