Function f(x) undergoes a simple transformation to create function g(x).The graphs of both f(x) and g(x) are shown.Create g(x) in terms of f(x).

Are there choices? The answer without choices g(x) = f(x) + 3Find the value of a It could be f(x) = a(x - 1)^2 so you have to check out the value of af(x) = y = a(x - 1)^2 Let x = 3f(x) = y = a(3 -1)^24 = 2^2 * a The 4 comes from the graph. Follow 3 up until it hits f(x) then read across on the y axis.a = 2^2 / 4a = 1Conclusionf(x) = a(x - 1)^2f(x) = (x - 1)^2find g(x) Just looking at the bottom point (the minimum of f(x) and g(x) ) you see that  g(x) is 3 units above f(x)So g(x) = (x - 1)^2 + 3 So g(x) = f(x) + 3 <<<<<<<< answer. If there are choices, please list them. I am changing this at the request of a mod. Without choices, I believe either answer to be correct.