Let's fill in the table of values for the function $g(x) = x^2 - 4x$. We will substitute each given value of $x$ into the function to calculate $g(x)$.

Calculations:

1. For $x = -2$: $g(-2) = (-2)^2 - 4(-2) = 4 + 8 = 12$

2. For $x = -1$: $g(-1) = (-1)^2 - 4(-1) = 1 + 4 = 5$

3. For $x = 0$: $g(0) = (0)^2 - 4(0) = 0$

4. For $x = 2$: $g(2) = (2)^2 - 4(2) = 4 - 8 = -4$

5. For $x = 4$: $g(4) = (4)^2 - 4(4) = 16 - 16 = 0$

6. For $x = 5$: $g(5) = (5)^2 - 4(5) = 25 - 20 = 5$

7. For $x = 6$: $g(6) = (6)^2 - 4(6) = 36 - 24 = 12$

Completed Table:

Would you like assistance with sketching the graph or any further details?

Here are five related questions:

1. How do you determine if a quadratic function opens upward or downward?
2. What are the roots of the function $g(x) = x^2 - 4x$?
3. What is the vertex of the parabola for the function $g(x) = x^2 - 4x$?
4. How would you find the axis of symmetry for this quadratic function?
5. What is the importance of plotting points when sketching a graph?

Tip: The vertex form of a quadratic equation $ax^2 + bx + c$ helps identify the vertex directly and simplifies graphing.