Based on the provided graph and the questions:

1. (a) Does the parabola open upward or downward?

   • The parabola opens downward. This is visible from the graph, as the arms of the parabola extend downwards.

2. (b) Find the coordinates of the vertex.

   • The vertex is located at the point $(2, 9)$, as indicated in the question.

3. (c) Find the intercept(s).

   • y-intercept: The y-intercept occurs where the parabola crosses the y-axis. Observing the graph, this point is approximately $(0, 5)$.
   • x-intercepts: The x-intercepts occur where the parabola crosses the x-axis. From the graph, these points appear to be approximately at $(-2, 0)$ and $(6, 0)$.

Would you like further details on how to determine the intercepts or any additional concepts related to this problem?

Here are five related questions for further exploration:

1. How can you determine the axis of symmetry for a parabola?
2. How do the coefficients of a quadratic equation affect the direction the parabola opens?
3. What is the formula for finding the vertex of a parabola given a quadratic equation?
4. How can you find the exact values of the x-intercepts for this parabola?
5. How does changing the position of the vertex affect the intercepts?

Tip: When analyzing parabolas, remember that the vertex gives the maximum or minimum value of the function depending on its direction (downward for maximum, upward for minimum).