The graph of y fx is shown at the left and the graph of y

The graph of y = f(x) is shown at the left and the graph of y = g(x) is shown at the right. (No formulas are given.) What is the relationship between g(x) and f (x)? A. g(x) = f(x + 1)-2 B. g(x) = f(x - 1) + 2 C. g(x) = f(x - 2) + 1 D. g(x) = f(x + 2) + 1

Solution

Graph of f(x) is shifted to right by 2 units

f(x-2)

Then, Graph of f(x-2) is shifted upwards by 1 unit

f(x -2) +1

So, g(x) = f(x-2) +1

Option C