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!

Explore how to solve the quadratic function f(x) = -2x^2 + 12x - 7. Learn about finding the roots, vertex, axis of symmetry, and graphing the function. This problem covers key algebraic concepts and formulas, suitable for students in Grades 9-10.

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