Final answer:
The question appears to be about determining the constants for a quadratic equation, but it lacks complete information. A full question would provide further details allowing one to solve for a, b, and c using systems of equations or by applying conditions to the quadratic formula.
Step-by-step explanation:
The student seems to be asking about finding the constants a, b, and c for a curve that satisfies certain conditions. However, the question seems incomplete as it doesn't provide the specifics of the curve's equation or the missing point through which it passes. To find a, b, and c for a quadratic equation given in the form at² + bt + c = 0, you would typically need either specific points or conditions that the curve meets. Once you have a complete set of information, you can use these details to establish a system of equations that can then be solved to find these constants.
When the quadratic equation is of the form given and solutions are needed, the quadratic formula is used, which is x = (-b ± √(b² - 4ac)) / (2a).