The function \( f(a) = 6a^2 + 3a - 5 \) is a quadratic function, as the highest degree of the variable \(a\) is 2. 

Would you like me to analyze the function further by calculating its properties (e.g., vertex, roots, derivative, etc.) or solve any specific problem involving this function?

Here are 5 related questions:
1. What are the roots (solutions) of the quadratic equation \(6a^2 + 3a - 5 = 0\)?
2. How do you find the vertex of the parabola described by this function?
3. What is the derivative of \(f(a)\) with respect to \(a\)?
4. What are the y-intercepts and x-intercepts of the function?
5. How can you graph the function \(f(a) = 6a^2 + 3a - 5\)?

**Tip:** When solving a quadratic equation, the discriminant \(b^2 - 4ac\) can tell you if the roots are real or complex.

Explore the quadratic function f(a) = 6a^2 + 3a - 5 in depth, including its properties, roots, vertex, derivative, and graphing techniques. Learn how to solve related problems and understand the key concepts of quadratic functions. Suitable for high school students.

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