5. На рисунке изображен график квадратичной функции y = f(x). Какое(-ие) из следующих утверждений о данной функции неверно(-ы)? Запишите выбранный(-ые) номер(-а).

The provided image shows a graph of a quadratic function. The question asks to identify the incorrect statement(s) among the given options.

Analyzing the graph:
The parabola opens downwards, indicating a negative leading coefficient. The vertex appears to be at x = 1, and the y-value at the vertex is 3. The x-intercepts appear to be at x = -1 and x = 3. The graph is symmetric about the vertical line x = 1.

Evaluating the statements:
1. f(-1) = f(3).
From the graph, when x = -1, y = 0. When x = 3, y = 0. Therefore, f(-1) = 0 and f(3) = 0. So, f(-1) = f(3) is TRUE.

2. Наибольшее значение функции равно 3.
The highest point on the graph is the vertex. The y-coordinate of the vertex is 3. Therefore, the maximum value of the function is 3. This statement is TRUE.

3. f(x) > 0 при -1 < x < 3.
This statement claims that the function is positive (above the x-axis) for all x values between -1 and 3. Observing the graph, the parabola is indeed above the x-axis for all x values strictly between -1 and 3. Therefore, this statement is TRUE.

Since all the given statements are true, there might be a misunderstanding or error in the question or options provided in the image. However, based on standard interpretation of such questions, if asked for the incorrect statement, and all appear correct, it suggests a potential issue with the question itself. If we are forced to choose, and assuming the question is valid and one statement *must* be incorrect, we would re-examine closely for any subtle inaccuracies. However, based on the clear visual representation:

Re-examining:
Statement 1: f(-1) = f(3) = 0. Correct.
Statement 2: Maximum value (y at vertex) = 3. Correct.
Statement 3: f(x) > 0 for -1 < x < 3. The graph is above the x-axis in this interval. Correct.

Given the problem asks for the incorrect statement, and all statements appear correct based on the visual data, there's no definitively incorrect statement among the options presented.

If we assume there is an error in the question and it meant to ask for the correct statement, then all would be correct. If there's an error in reading the graph, it's not apparent.

Let's assume there's a subtle point missed or the graph is not perfectly to scale and the question expects us to identify a statement that *could* be false under slight variations or assumptions.

However, for a typical math problem of this nature, the graphical representation is intended to be accurate for the purpose of evaluating the statements.

Conclusion based on visual inspection: All statements (1, 2, and 3) appear to be true based on the provided graph of the quadratic function.

If the question *requires* an incorrect statement, and all appear correct, this indicates an issue with the problem statement itself as presented in the image.

Let's consider potential misinterpretations:
- Could f(-1) = f(3) be misinterpreted? No, the x-intercepts are clearly shown at -1 and 3, where f(x) = 0.
- Could the maximum value be misinterpreted? The vertex is clearly at y=3.
- Could f(x) > 0 for -1 < x < 3 be misinterpreted? The parabola is above the x-axis between these points.

Given the constraints, and assuming the question is valid and there must be an incorrect statement, there is no clear candidate for an incorrect statement based on the visual information. This is a common issue when question design itself is flawed.

However, to provide an answer in the requested format, I must select one if the prompt implicitly demands it, acknowledging the ambiguity. In typical exam scenarios, if all options appear correct, it might imply a need to re-evaluate definitions or look for edge cases. For a quadratic function defined by its graph, these statements are direct observations.

Let's re-read the question: "Какое(-ие) из следующих утверждений о данной функции неверно(-ы)? Запишите выбранный(-ые) номер(-а)." This clearly asks for the INCORRECT statement(s).

Since all statements appear correct, and I am required to output a JSON with an answer, and there's no way to indicate