Question

What is the vertex of `y= x^2- 2x +3`?

Answer 1

`(1,2)`

Explanation:

graph{y=x^2-2x+3 [-10, 10, -5, 5]}
The equation for this graph is a quadratic one so it makes a parabola. The vertex of a parabola is it's highest or lowest point, in this case, the lowest. We can see from the graph that the lowest point is `(1,2)` so therefore, `(1,2)` is the vertex of the equation.