Finding Function Value from Parameters

Let the function $$f$$ be defined by the equation:

$$ f(x) = ax^2 + bx + c $$

Where:

• $$ a = 2 $$
• $$ b = -4 $$
• $$ c = 1 $$

If you know that the function passes through the point (3, 1), which means that $$ f(3) = 1 $$, what is the value of $$ f(6) $$?