To determine the interval on which the function is decreasing, we analyze the graph provided. A function decreases when its slope is negative, meaning the graph moves downward as $x$ increases.

From the graph:

1. The function reaches its highest point (the vertex of the parabola) at approximately $x = 3$.
2. The function is decreasing on the interval to the right of this vertex, which appears to be $x > 3$.

Answer: The function is decreasing on the interval $(3, \infty)$.

Would you like further clarification or additional help analyzing this graph?

Related Questions:

1. How do you determine where a function is increasing or decreasing?
2. What is the importance of finding intervals of increase or decrease in functions?
3. Can this graph represent a real-world scenario? If yes, what could it model?
4. How do you find the vertex of a parabola algebraically?
5. What does the derivative of a function tell us about its increase and decrease?

Tip:

When analyzing graphs for intervals of increase and decrease, look for where the slope changes from positive to negative or vice versa. This is often associated with critical points or