To find \( 4f(x) \) when \( f(x) = x^2 - 2x + 5 \), you need to multiply the entire function \( f(x) \) by 4.

\[
4f(x) = 4 \times \left( x^2 - 2x + 5 \right)
\]

Distribute the 4:

\[
4f(x) = 4x^2 - 8x + 20
\]

So, \( 4f(x) = 4x^2 - 8x + 20 \).

Would you like a detailed explanation, or do you have any questions about this?

Here are 5 related questions for practice:

1. What is \( 3f(x) \) if \( f(x) = x^2 + 3x - 7 \)?
2. How would you find \( f(2) \) for \( f(x) = x^2 - 2x + 5 \)?
3. What is the vertex of the parabola defined by \( f(x) = x^2 - 2x + 5 \)?
4. How do you find the derivative of \( f(x) = x^2 - 2x + 5 \)?
5. What is the value of \( 4f(-1) \) for \( f(x) = x^2 - 2x + 5 \)?

**Tip:** When multiplying a function by a constant, distribute the constant to each term in the function.

Learn how to multiply the function f(x) = x^2 - 2x + 5 by 4 with a step-by-step explanation. This problem covers function operations and quadratic equations. Suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation