To find \( f(-5) \) for the function \( f(x) = 4x^2 - 12x + 1 \), follow these steps:

1. Substitute \( x = -5 \) into the given function:
   \[
   f(-5) = 4(-5)^2 - 12(-5) + 1
   \]

2. Simplify the expression:
   \[
   = 4(25) + 60 + 1
   \]
   \[
   = 100 + 60 + 1
   \]

3. Add the terms:
   \[
   f(-5) = 161
   \]

Thus, \( f(-5) = 161 \).

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

1. How would you find the vertex of the quadratic function \( f(x) = 4x^2 - 12x + 1 \)?
2. What is the discriminant of the quadratic function, and how does it determine the number of real roots?
3. How would you solve \( f(x) = 0 \) for this quadratic function?
4. How can you express \( f(x) \) in vertex form?
5. What is the axis of symmetry for the function \( f(x) \)?

**Tip:** In any quadratic function \( f(x) = ax^2 + bx + c \), the axis of symmetry can be found using the formula \( x = -\frac{b}{2a} \).

Discover how to find f(-5) for the quadratic function f(x) = 4x^2 - 12x + 1. This solution includes step-by-step substitution and simplification, covering essential algebra concepts. Ideal for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation