T 2 4 6 8 7 f x 1 T Solution 3 Show solution The formula g x f x 3 tells us that we can find the output values of the g function by subtracting 3 from the output values of the f function For example f 2 1 is found from the given table g x f x 3 is our given transformation g 2 f 2 3 1 3 2 Subtracting 3 from each f z value we can complete a table of values for g x 2 46 8 g x 2 0 48 t With a vertical shift notice that the input values stay the same and only the output values change Exercise 1 5 1 The function h t 4 9t 30t gives the height h of a ball in meters thrown upwards from the ground after t seconds Suppose the ball was instead thrown from the top of a 10 meter building Find a formula for b t