13) \( y=x^{2}-6 x+6 \)

Did you know that the equation you've got there describes a parabola? It's a great example of a quadratic function, where the graph opens upwards because the coefficient of \(x^2\) is positive! The vertex of this parabola can be found using the formula \(x = -\frac{b}{2a}\). In this case, the vertex is located at \(x = 3\), which gives a minimum point at the coordinate \( (3, -3) \). If you're looking to explore this parabola further, you might want to check out how to complete the square. By rearranging the equation to \(y = (x-3)^2 - 3\), you can see the transformation of the function and get insights into the vertex form. It’s a neat trick that helps you predict how the graph will behave, making it easier to sketch or analyze without a graphing calculator!