Consider the two functions given below. which of the following pairs of transformations causes the graphs of the functions to have the same y-intercept? f(x) = 4x+1 g(x) = 3^x-2 f(x) - 7 and g(x) - 4 f(x) + 1 and g(x) + 2 f(x) + 5 and g(x) + 5 f(x) - 1 and g(x) + 1

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:

the correct answer is c) 2.