Let's substitute $x = -2$ into the given function $f(x) = 8x^2 - 9x + 3$ and solve for $f(-2)$.

$f(-2) = 8(-2)^2 - 9(-2) + 3$ First, calculate the powers and products: $(-2)^2 = 4$ $8 \times 4 = 32$ $-9 \times (-2) = 18$

Now substitute these values back into the expression: $f(-2) = 32 + 18 + 3 = 53$

Thus, $f(-2) = 53$.

Would you like more details or have any questions?

Here are five related questions to consider:

1. What is the vertex of the parabola represented by $f(x) = 8x^2 - 9x + 3$?
2. How would you find the roots of $f(x) = 8x^2 - 9x + 3$?
3. What is the axis of symmetry for the quadratic function $f(x)$?
4. How does the graph of $f(x) = 8x^2 - 9x + 3$ compare to $f(x) = x^2$?
5. How would the function change if the coefficient of $x^2$ became negative?

Tip: To quickly find the output of a function, substitute the given value of $x$ into the function and simplify step by step.