Which of these functions has the same shape as but shifted 11 spaces to the right?

To shift the graph of the function to the right by 11 spaces, you modify the input inside the function. Specifically, you replace with . So the correct function would be . This transformation retains the familiar parabolic shape while moving it horizontally on the graph.

One common mistake many people make when shifting functions horizontally is confusing the direction of the shift. Remember, to shift a function to the right, you subtract from (i.e., for a shift of units to the right). If you mistakenly added , as in , you’d end up shifting the function to the left instead!