Given the quadratic function:

\[
f(x) = 6x^2 - 11x + 3
\]

### Key Information:
1. **General Form**: This is a quadratic function of the form \( f(x) = ax^2 + bx + c \), where:
   - \( a = 6 \)
   - \( b = -11 \)
   - \( c = 3 \)

### Tasks you may want to do with this function:
1. **Find the roots (solutions)** of the quadratic equation by solving \( f(x) = 0 \).
2. **Find the vertex** of the parabola, which gives the minimum or maximum value of the function.
3. **Determine the direction of the parabola** (whether it opens upwards or downwards).
4. **Find the axis of symmetry**.
5. **Determine the y-intercept**.

Would you like to explore any of these aspects in detail? 

Here are 5 questions to further expand your understanding of this function:
1. Would you like to solve for the roots of the quadratic equation?
2. Would you like to determine the vertex of the parabola?
3. Do you want to find the axis of symmetry?
4. Are you interested in knowing whether the parabola opens upwards or downwards?
5. Would you like to see a graph of the quadratic function?

**Tip**: The discriminant \( b^2 - 4ac \) can help determine the number and type of roots for a quadratic equation!

Explore the quadratic function f(x) = 6x^2 - 11x + 3 with detailed solutions. Learn how to find the roots, vertex, axis of symmetry, and whether the parabola opens upwards or downwards. Includes key algebraic concepts and formulas. Suitable for Grades 8-10.

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