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.