Question

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)

Answer 1

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)