# How do you identify the important parts of #y = x^2 – 2x# to graph it?

We can write your function in the general form:

Basically, to graph your function (that is a Quadratic, representing a Parabola) you need to observe:

1) the coefficient

If it is

2) the vertex: this is the highest/lowest point reached by your parabola and the parabola is plotted all around it. The coordinates of this special point are given as:

So vertex

3) y-intercept. You can set

4) x-intercept(s) (when they exist). You set

and:

So x-intercepts at

You can now plot your parabola using mainly these points:

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To identify the important parts of the function y = x^2 - 2x in order to graph it, you need to find the vertex, the axis of symmetry, and the intercepts. The vertex is (-b/2a, f(-b/2a)), where a and b are the coefficients of the quadratic equation. The axis of symmetry is x = -b/2a. The y-intercept is found by substituting x = 0 into the equation, and the x-intercepts are found by solving the equation for y = 0. Additionally, you can find the direction of the parabola by examining the coefficient of x^2.

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