Here is the graph of the quadratic function $f(x) = x^2$, based on the values in the table:

• The graph is a parabola opening upwards.
• The points are symmetric about the y-axis, with the vertex at $(0, 0)$.
• Key points plotted include $(-4, 16)$, $(-3, 9)$, $(-2, 4)$, $(-1, 1)$, $(0, 0)$, $(1, 1)$, $(2, 4)$, $(3, 9)$, and $(4, 16)$.

Would you like any further details or explanations on this graph or the function?

Here are five related questions to explore:

1. What are the roots of the function $f(x) = x^2$?
2. How do you determine the vertex of a quadratic function?
3. What does the symmetry of the parabola tell us about the function?
4. How does the graph of $f(x) = x^2 + 3$ compare to this one?
5. How does the graph change if the function is $f(x) = -x^2$?

Tip: In quadratic functions, the vertex is the point of minimum or maximum value depending on whether the parabola opens upwards or downwards.