It seems like you're asking about a function, but there might be a small typo. Based on what you wrote, you might mean:

$f(x) = -2x^2 + 12x - 7$

Is that correct? If so, this is a quadratic function. Would you like to explore specific aspects of this function, such as:

1. Finding the roots (solving $f(x) = 0$)?
2. Finding the vertex (maximum or minimum point)?
3. Determining the axis of symmetry?
4. Calculating the y-intercept or other function values?
5. Graphing the function?

Tip:

For quadratic functions like this one, the graph is a parabola. Since the coefficient of $x^2$ is negative, the parabola opens downward.

Let me know if you'd like details or have any other questions!