Answer :
Shortcut without real graphing:
For g(x) = x^2 + 4, the vertex will be (0,4)
Then the new f(x) = g(x+4), which means it shifts the g(x) 4 units to the left
So the vertex will be (-4,4)
For g(x) = x^2 + 4, the vertex will be (0,4)
Then the new f(x) = g(x+4), which means it shifts the g(x) 4 units to the left
So the vertex will be (-4,4)