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.