if the function g(x)= x to the second power +2 is a transformation of the quadratic parent function, f(x) = x to the second power, where is the y-intercept of the function g located?

if im not mistaking its

step-by-step explanation:  

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: