For this case, the parent function is given by: [tex]f (x) = x ^ 2
[/tex] We apply the following transformation: Horizontal displacement: Assume k> 0: To move the graph k units to the right, you must graph f (x-k) Applying the transformation for 2 units on the right we have: [tex]g (x) = (x-2) ^ 2
[/tex] Answer: The function for the blue graph is given by: [tex]g (x) = (x-2) ^ 2
[/tex] option B
