Title: hyperbola at origin part 2
Course: 2025 Probabilidad y Estadística

Q: Find the equation for the hyperbola whose graph is shown. The foci of the hyperbola are F_1(-5, 0) and F_2(5, 0).

​

[Image]
- [Image] (Correct)
- [Image] ​ (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
A: [Image]

Q: Find the equation for the hyperbola whose graph is shown. The foci of the hyperbola are F_1(0, -5) and F_2(0, 5).

​

[Image]
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
- [Image] (Incorrect)
A: [Image]

Q: Find the equation for the hyperbola whose graph is shown. The graph passes through the point (3, 5).

​

[Image]
- [Image] (Correct)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
A: [Image]

Q: Find the equation for the hyperbola whose graph is shown. The foci of the hyperbola are F _1 (-5, 0) and F _2 (5, 0).

​

[Image]
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
A: [Image]

Q: Find the equation for the hyperbola whose graph is shown. The asymptotes are [Image]

​

[Image]
- [Image] (Correct)
- [Image] (Incorrect)
- [Image] ​ (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
A: [Image]

Q: Find the equation for the hyperbola whose graph is shown. The asymptotes are [Image]

​

[Image]

​
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
- [Image] (Incorrect)
A: [Image]

Q: Find the equation for the hyperbola with foci (±5, 0) and vertices (±4, 0).

​
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
- [Image] (Incorrect)
A: [Image]

Q: Find the equation for the hyperbola with foci (0, ±4) and vertices (0, ±3).

​
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
- [Image] (Incorrect)
A: [Image]

Q: Find the equation for the hyperbola with vertices (±2, 0) and asymptotes [Image].
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
- [Image] (Incorrect)
- [Image] (Incorrect)
A: [Image]

Q: Find the equation for the hyperbola with foci (0, ±8) and asymptotes [Image].
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
- [Image] (Incorrect)
A: [Image]

Q: Find the equation for the hyperbola with vertices (0, ±4), that passes through (3, 5).

​
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
A: [Image]

Q: Find the equation for the hyperbola with asymptotes y = ± x that passes through (5, 4).

​
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
A: [Image]

Q: Find the equation for the hyperbola with the foci (±10, 0) with transverse axis of length 16.

​
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
A: [Image]

Q: Find an equation for the hyperbola with foci (0, ±c) that has asymptotes perpendicular to each other.

​
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
A: [Image]

Q: Determine the values of a, b, and c for the hyperbola.

​

[Image]

​
- a = 36, b = 64, c = 100 (Incorrect)
- a = 8, b = 6, c = 10 (Incorrect)
- a = 36, b = 64, c = 1 (Incorrect)
- a = 6, b = 8, c = 10 (Correct)
- a = 64, b = 36, c = 1 (Incorrect)
A: a = 6, b = 8, c = 10