1. **State the problem:** We are given a quadratic function $f(x) = ax^2 + bx + c$ with $a > 0$ and asked if $f$ is bounded from above. 2. **Recall the shape of the parabola:** Since $a > 0$, the parabola opens upwards. This means the graph looks like a "U" shape. 3. **Key property:** For $a > 0$, the parabola has a minimum point (vertex) but no maximum point. As $x \to \pm \infty$, $f(x) \to +\infty$. 4. **Boundedness from above:** A function is bounded from above if there exists some number $M$ such that $f(x) \leq M$ for all $x$. 5. **Check if $f$ is bounded from above:** Since $f(x)$ grows without bound as $x$ moves away from the vertex, there is no finite $M$ that bounds $f(x)$ from above. 6. **Conclusion:** The statement "$f$ is bounded from above" is **false** when $a > 0$. **Final answer:** The function $f(x) = ax^2 + bx + c$ with $a > 0$ is **not** bounded from above.