Which is the graph of f(x)=x^2-2x+3

The graph of this function would be a positive quadratic graph, so a curve with ends that go upwards, with a turning point at the top of the curve at (1, 2).

If we complete the square of this function, we get (x - 1)² + 2, which tells us that the turning point is (1, 2) as to make the bracket equal 0, x has to be 1, and 2 is the only number outside of the bracket.
I hope this helps!

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.