1. Draw the graph of quadratic polynomial f(x) = x². ​

I'm sorry, but as a text-based AI, I'm unable to draw graphs. However, I can guide you on how to draw the graph of the quadratic polynomial f(x) = x².

1. Start by drawing a set of axes on a piece of graph paper. Label the horizontal axis as 'x' and the vertical axis as 'f(x)'.

2. The graph of f(x) = x² is a parabola. This means it will be a curved line. The vertex (the lowest point if the parabola opens upwards, or the highest point if it opens downwards) of this parabola is at the origin (0,0) because there are no numbers subtracted or added to x² in the equation.

3. Choose some values for x and substitute them into the equation to find the corresponding values for f(x). For example, if x = -2, -1, 0, 1, 2, then f(x) = 4, 1, 0, 1, 4 respectively.

4. Plot these points on your graph and draw a smooth curve through them. The curve should be symmetric about the y-axis (the line x = 0) because the equation is x², which is even.

5. Your graph should look like a U shape with the bottom point at the origin.

Remember, the more points you plot, the more accurate your graph will be.