It looks like you're trying to write a quadratic function \( f(x) = -3x^2 + 4x + 3 \), but there is a small typo. Let me rewrite the function correctly for you:

\[ f(x) = -3x^2 + 4x + 3 \]

This is a quadratic equation, where:
- The coefficient of \(x^2\) is \(-3\),
- The coefficient of \(x\) is \(4\),
- The constant term is \(3\).

Would you like to:
1. Find the roots of this equation (where \( f(x) = 0 \))?
2. Analyze its vertex and axis of symmetry?
3. Plot the graph of the function?
4. Calculate its value for specific values of \(x\)?
5. Discuss how the negative leading coefficient affects the graph?

**Tip:** The graph of a quadratic function is a parabola, and the sign of the leading coefficient determines whether it opens upwards or downwards.

Explore the quadratic function f(x) = -3x^2 + 4x + 3. Learn how to find its roots using the quadratic formula, analyze its vertex and axis of symmetry, and understand the impact of a negative leading coefficient on the graph. This problem covers key algebraic concepts, suitable for students in Grades 8-10.

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