Manipulation of Fractional Functions
Author: shiroeExecutions: 57
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Enter a, b, c, and d into the input fields.
Enter a non-zero number for c.
(In this example, we assume that a is also a non-zero number.)
Assume that ad is not equal to bc.
Calculate the constants k, p, and q, and output them.
Enter a non-zero number for c.
(In this example, we assume that a is also a non-zero number.)
Assume that ad is not equal to bc.
Calculate the constants k, p, and q, and output them.
| Check results for c ≠ 0 | (If it's 1, that's fine) |
| Check results for ad ≠ bc | (If it's 1, that's fine) |
| k | |
| p | (The notation is not -p. Be careful with the sign.) |
| q | |
| The x-coordinate of the point of intersection with the x-axis | (Display if there are common points) |
| The y-coordinate of the point of intersection with the y-axis | (Display if there are common points) |
The asymptotes of the right-angled hyperbola y = k/x are the x-axis and the y-axis.
The graph of the equation y = {k/(x - p)} + q is a translation of the graph of y = k/(x - p) + q by p and q in the x and y directions, respectively.
The asymptotes are x = p and y = q.
Digit display set to 10 digits. Digit count can be changed. Real number calculation mode.
The graph of the equation y = {k/(x - p)} + q is a translation of the graph of y = k/(x - p) + q by p and q in the x and y directions, respectively.
The asymptotes are x = p and y = q.
Digit display set to 10 digits. Digit count can be changed. Real number calculation mode.
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Let the original rational function be of the form y = (ax + b)/(cx + d).
Let the transformed form be y = {k/(x - p)} + q.