To solve the problem, we are given the function $h(x) = 4x - 2$, and we need to find $h(x + 2)$.

Step 1: Substitute $x + 2$ into the function

We replace $x$ with $x + 2$ in the expression for $h(x)$: $h(x + 2) = 4(x + 2) - 2$

Step 2: Simplify the expression

Expand the brackets: $h(x + 2) = 4x + 8 - 2$ Combine like terms: $h(x + 2) = 4x + 6$

Final Answer:

$h(x + 2) = 4x + 6$

Would you like further explanation or examples?

Related Questions:

1. How do you evaluate $h(a)$ for any given $a$ in $h(x) = 4x - 2$?
2. What is $h(0)$ and $h(3)$ using the given function?
3. How would the function $h(x)$ change if the slope were doubled?
4. Can you express $h(x + k)$ in general terms for a constant $k$?
5. What are the intercepts of $h(x) = 4x - 2$ on a graph?

Tip:

When finding $h(x + k)$, substitute the entire $x + k$ expression into $h(x)$, and carefully distribute terms to simplify the result.