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Answer:
Step-by-step explanation:
Given an hyperbola with the following conditions:
- Foci at (-10,0) and (10,0)
- x-intercept +/- 6;
The following holds:
- The center is midway between the foci, so the center must be at (h, k) = (0, 0).
- The foci are 10 units to either side of the center, so c = 10 and
- The center lies on the origin, so the two x-intercepts must then also be the hyperbola's vertices.
Since the intercepts are 6 units to either side of the center, then a = 6 and
Therefore, substituting and
into the standard form