Here is the graph of the function $y = -(x^2 - 2x) + 3$. The curve represents a downward-opening parabola, shifted horizontally and vertically due to the transformations in the equation.

Would you like more details about how the graph was derived or any specific part of the equation? Here are some related questions to expand your understanding:

1. How do we determine the vertex of the parabola from this equation?
2. What are the intercepts of the graph with the x-axis and y-axis?
3. How does completing the square help in understanding the graph's shape?
4. How do transformations (translations, reflections) affect the graph?
5. How can this function be rewritten in vertex form?

Tip: When graphing quadratic functions, always check for transformations such as shifts, stretches, or reflections to understand the graph's behavior more easily.