To shift the graph of $f(x) = 2x^2$ left by 6 units, you can replace $x$ with $x + 6$ in the equation. This is because shifting left involves adding a positive value to $x$.

So, the equation of the function $g(x)$ will be:

$g(x) = 2(x + 6)^2$

This represents the graph of $f(x) = 2x^2$ shifted 6 units to the left.

Would you like a more detailed explanation, or do you have any questions?

Here are 5 related questions:

1. What happens when we shift the graph to the right instead of left?
2. How do you shift a graph vertically?
3. How does the shape of the graph change if we change the coefficient of $x^2$?
4. What is the effect of adding a constant to the entire function, rather than inside the parentheses?
5. How would you reflect the graph over the x-axis?

Tip: When shifting horizontally, remember that moving left involves adding to $x$, while moving right involves subtracting from $x$.