To answer the question, let's analyze the given statements based on the properties of a quadratic function's graph:

1. Statement I: The x-intercept is located at (-3, 0).

   • The x-intercepts are the points where the graph crosses the x-axis. If the graph crosses or touches the x-axis at (-3, 0), this statement is true.

2. Statement II: The coordinates of the y-intercept are (0, 9).

   • The y-intercept is the point where the graph crosses the y-axis. If the graph crosses the y-axis at (0, 9), then this statement is true.

3. Statement III: The axis of symmetry is x = -3.

   • The axis of symmetry of a quadratic function is a vertical line that passes through the vertex of the parabola. If the graph's vertex is aligned at x = -3, this statement is true.

Analysis of the answer choices:

• If the x-intercept is at (-3, 0) and the axis of symmetry is x = -3, then statements I and III are correct.
• If the y-intercept is at (0, 9), then statement II is correct.

Thus, all three statements are true.

Correct answer: D. I, II, and III

Would you like further explanation on any of the graph's features?

Here are 5 questions to expand on this:

1. What is the relationship between the vertex and the axis of symmetry in a quadratic function?
2. How can the quadratic equation be derived from the graph's intercepts and vertex?
3. What effect does changing the y-intercept have on the quadratic graph?
4. Can a quadratic graph have more than one axis of symmetry?
5. How would the graph change if the quadratic function's leading coefficient was negative?

Tip: The axis of symmetry in a quadratic function always passes through the vertex and can be found using the formula $x = -\frac{b}{2a}$ when the quadratic is in standard form $ax^2 + bx + c$.