Question

The graph shows f(x) and its transformation g(x) .

Enter the equation for g(x) in the box.

g(x) =

Answer 1

(x) = 2 ^ (x + 2)

Answer 2

For this case the transformation of f (x) is given by
g (x) = 2 ^ (x + 2)
To prove it, we must verify that equality is met by replacing the ordered pairs shown in the function g (x)

For (-2,1)
g (-2) = 2 ^ ( -2 + 2)
g(-2)=1

For (-1,2)
g (-1) = 2 ^ ( -1+ 2)
g(-1)=2

For (0,4)
g (0) = 2 ^ ( 0+ 2)
g(0)=4

answer
g (x) = 2 ^ (x + 2)