1. The problem asks to translate the graph of $y = x^2$ to get the graph of $y = (x - 1)^2$. 2. The formula for horizontal translation of a function $y = f(x)$ is $y = f(x - h)$, where $h$ is the number of units shifted right if positive, or left if negative. 3. Here, $f(x) = x^2$ and $h = 1$, so the translated function is $y = (x - 1)^2$. 4. This means every point on the graph of $y = x^2$ moves 1 unit to the right. 5. For example, the vertex originally at $(0,0)$ moves to $(1,0)$. 6. The shape of the parabola does not change, only its position shifts horizontally. Final answer: The graph of $y = (x - 1)^2$ is the graph of $y = x^2$ shifted 1 unit to the right.