Determining a Parabola Based on the Position of Its Vertex and a Single Point of Intersection
Author: shiroeExecutions: 21
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Enter the x-coordinate p of the vertex.
Enter the y-coordinate q of the vertex.
Enter the x and y coordinates (t, u) of another point that does not overlap with the vertex.
Since this is a point on the parabola that is distinct from the vertex,
enter values such that p is different from t, and q is different from u.
(No output will be generated for invalid inputs.)
The coefficients a, b, and c will be determined and output.
Note that, for reference purposes,
since a is calculated by division, the numerator and denominator of a will be output.
However, they will be displayed without simplification such as reducing fractions. This is also for reference purposes.
Enter the y-coordinate q of the vertex.
Enter the x and y coordinates (t, u) of another point that does not overlap with the vertex.
Since this is a point on the parabola that is distinct from the vertex,
enter values such that p is different from t, and q is different from u.
(No output will be generated for invalid inputs.)
The coefficients a, b, and c will be determined and output.
Note that, for reference purposes,
since a is calculated by division, the numerator and denominator of a will be output.
However, they will be displayed without simplification such as reducing fractions. This is also for reference purposes.
| a | |
| b | |
| c | |
| Reference: the numerator of a | |
| Reference: the denominator of a |
Digit display setting: 50 digits. Digit count can be changed. Real number calculation mode.
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Let the equation of the parabola be of the form y = ax² + bx + c.