To accurately answer this question, we need to know how the function $h$ is transformed from the function $f$. Common transformations include translations (shifts), stretches, compressions, and reflections. Each transformation affects the function graph differently:

1. Vertical stretch/compression: This happens when the function is multiplied by a factor $a$ (e.g., $h(x) = a \cdot f(x)$).
2. Horizontal stretch/compression: This is seen with a factor applied inside the function, like $h(x) = f(b \cdot x)$.
3. Vertical shift: A constant added or subtracted to the function, such as $h(x) = f(x) + k$.
4. Horizontal shift: A constant inside the function argument (e.g., $h(x) = f(x + c)$).
5. Reflection: A negative factor applied to $f(x)$ (e.g., $h(x) = -f(x)$ or $h(x) = f(-x)$).

If you can provide details on the graphs or specific transformation characteristics, I can give you the exact transformation description.