*f*(*x*)=3*x^*2−*x*+2, find f, of, minus, 4*f*(−4)

To solve \( f(-4) \) for the function \( f(x) = 3x^2 - x + 2 \), follow these steps:

1. **Substitute** \( x = -4 \) into the function:
   \[
   f(-4) = 3(-4)^2 - (-4) + 2
   \]

2. **Simplify the expression**:
   \[
   f(-4) = 3(16) + 4 + 2 = 48 + 4 + 2
   \]
   \[
   f(-4) = 54
   \]

Thus, \( f(-4) = 54 \).

Let me know if you'd like further details on the steps!

Here are 5 related questions:
1. What is the derivative of \( f(x) = 3x^2 - x + 2 \)?
2. How do you find the maximum or minimum value of \( f(x) \)?
3. What happens if you solve \( f(x) = 0 \)?
4. What is \( f(1) \) for the given function?
5. Can you express \( f(x) \) in factored form?

**Tip**: Always check if the function can be simplified before solving for specific values!

Learn how to evaluate the function f(x) = 3x^2 - x + 2 at x = -4. Follow the step-by-step solution to substitute and simplify the expression. Ideal for students in Grades 8-10 studying algebra and quadratic functions.

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