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f(x) is shifted to the left 2 units of g(x)

f(x) will not be shifted vertically since we did not add anything to g(x)

Step-by-step explanation:

g(x) = x^2+2

f(x) = g(x+2)

When we shift  with h(x+c)  it is a horizontal shift

                  if c>0 it moves it left  c units

                  if c< 0 it moves it right c units

Since c is 2, this is shifted left 2 units

f(x) is shifted to the left 2 units of g(x)

When we shift  with h(x)+c  it is a vertical shift

                  if c>0 it moves it up  c units

                  if c< 0 it moves it down c units

f(x) will not be shifted vertically since we did not add anything to g(x)

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