The parent function is: y = x ^ 2 Applying the following function transformation we have: Horizontal translations: Suppose that h> 0 To graph y = f (x-h), move the graph of h units to the right. We have then: g (x) = (x-2) ^ 2 Then, we have the following function transformation: Vertical translations Suppose that k> 0 To graph y = f (x) + k, move the graph of k units up. We have then that the original function is: g (x) = (x-2) ^ 2 Applying the transformation we have f (x) = g (x) +3 f (x) = (x-2) ^ 2 + 3 Answer: the function f(x) moves horizontally 2 units rigth. The function f (x) is shifted vertically 3 units up.
Inverse means opposite. The opposite of division is multiplication. For example, if you divided 15 by 3, the answer is 5. If you multiply 5 by 3, the answer is 15. You know your answer is correct by checking it with the inverse operation.
