Answer: (0, 3)
Step-by-step explanation:
The original function is
f(x) = e^x
If it is dilated by a fator of 2 and translated 1 unit upwards, it becomes
2e^x + 1
This is the same as
g(x) = 2f(x) + 1
Thus,
g(x) = 2e^x + 1
To find the y intercept, we woild substitute x = 0 into g(0). It becomes
g(0) = 2e^0 + 1 = 2 + 1 = 3
Thus, the correct oprion is
( 0, 3)