# How do you graph #y=x^2-2x+3#?

##### 1 Answer

You can look at the "special" points of your function. These are points that characterize the curve represented by your function.

In your case you have a quadratic in the general form given as:

which is represented, graphically, by a PARABOLA. The orientation of the parabola is given by the coefficient

Now the special points:

1) You find the VERTEX (the lowest point of your parabola) which has coordinates given by:

(Where

2) Y-axis intecept: The coordinates of this pont are given as:

3) X-axis intercept(s): the coordinate of these intercepts (if they exist) are given by putting

In your case you have:

With only these points we can already plot our parabola: