This is the graph of and exponential equation. All you need to do is to look at these equations and substitute 0 for x and see if your answer is 1 since the graph passes through the the point(0,1)
Choice A is y= 4^x when you substitute 0 for x you get y=4^0 which is 1 so choice A is the correct choice. If you like you can try this with the other choices and you will see that substituting 0 for x will not give you 1