The function g(x)=(x-2)^2. The function f(x)=g(x)+3. How much is f(x) shifted horizontally and vertically from g(x)?
1) The function f(x) is shifted horizontally. A. 2 units to the left of g(x) B. 2 units to the right of g(x) C. The function is not shifted horizontally from g(x)
2) The function f(x) is shifted vertically. A. 3 units up from g(x) B. 3 units down from g(x) C. The function is not shifted vertically from g(x)
For this case we have the following function transformation: Vertical displacement. Assume k> 0 If f (x) is the original function, f (x) + k is the original function with a vertical displacement k units up. Answer: Part 1: C. The function is not shifted horizontally from g (x) Part 2: A. 3 units up from g (x)