1. The problem asks which transformation moves the parent function $x^2$ two units to the right. 2. The parent function is $f(x) = x^2$. 3. Horizontal shifts are done inside the function's argument: $f(x - h)$ shifts the graph $h$ units to the right, and $f(x + h)$ shifts it $h$ units to the left. 4. Therefore, to move $x^2$ two units to the right, we replace $x$ with $x - 2$. 5. The transformed function is $f(x) = (x - 2)^2$. 6. Checking the options: - A) $x^2 + 2$ shifts the graph up by 2 units. - B) $x^2 - 2$ shifts the graph down by 2 units. - C) $(x + 2)^2$ shifts the graph 2 units to the left. - D) $(x - 2)^2$ shifts the graph 2 units to the right. 7. The correct answer is D) $(x - 2)^2$.