The given function is $f(x) = -5x + 6$. You're asked to find and simplify $f(x + 2)$.

To do this, substitute $x + 2$ into the function $f(x)$:

$f(x+2) = -5(x + 2) + 6$

Now simplify the expression:

$f(x+2) = -5(x) - 5(2) + 6 = -5x - 10 + 6$

$f(x+2) = -5x - 4$

So, $f(x+2) = -5x - 4$.

Would you like more details, or do you have any questions about this? Here are some related questions for further practice:

1. What would $f(x - 3)$ be for the same function?
2. How would the graph of $f(x)$ change if the constant term were different?
3. Can you find $f(0)$ and $f(2)$ using the same function?
4. What is the slope of the function $f(x) = -5x + 6$?
5. If $g(x) = -5x + 6$, how does the function $g(x+2)$ differ from $f(x+2)$?

Tip: When substituting an expression into a function, always distribute the terms carefully before simplifying.