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.