The equation provided is:

$y = 3x^2 - 3x + 7$

This equation is a quadratic equation in terms of $x$, meaning $y$ is expressed as a function of $x$. For an equation to define $y$ as a function of $x$, each value of $x$ must correspond to exactly one value of $y$.

In this case, since it is a quadratic function (a parabola), for every input $x$, there is exactly one output $y$. Therefore, the equation does define $y$ as a function of $x$.

Answer: Yes

Would you like further details on why this is a function, or any other explanation?

Here are 5 related questions to consider:

1. How can you determine if an equation is a function by looking at its graph?
2. What is the general form of a quadratic function?
3. Can a vertical line test be used to confirm if an equation is a function?
4. How do the coefficients in a quadratic equation affect the shape of its graph?
5. Are all polynomial equations functions?

Tip: A quadratic equation always represents a function because it passes the vertical line test, meaning each input (x) has one unique output (y).