Title: hyperbola at origin part 1
Course: 2025 Probabilidad y Estadística

Q: Identify the graph matching the given equation.

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[Image]

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

Q: From the list below, find the graph matching the given equation.

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

Q: Find the vertices of the hyperbola.

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[Image]
- (±4, 0) (Correct)
- (0, ±4) (Incorrect)
- none of these (Incorrect)
- (0, ±5) (Incorrect)
- (±5, 0) (Incorrect)
A: (±4, 0)

Q: Find the vertices, foci, and asymptotes of the hyperbola, and sketch its graph.

​

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

Q: Find the vertices of the hyperbola.

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[Image]
- (0, 4) and (0, -4) (Incorrect)
- (-1, 0) and (1, 0) (Incorrect)
- (0, -1) and (0, 1) (Correct)
- (0, -16) and (0, 16) (Incorrect)
- (4, 0) and (-4, 0) (Incorrect)
A: (0, -1) and (0, 1)

Q: Find the vertices of the hyperbola.

​

[Image]

​
- (0, -1) and (0, 1) (Correct)
- (5, 0) and (-5, 0) (Incorrect)
- (0, 5) and (0, -5) (Incorrect)
- (0, -25) and (0, 25) (Incorrect)
- (-1, 0) and (1, 0) (Incorrect)
A: (0, -1) and (0, 1)

Q: Find the asymptotes of the hyperbola.

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9x^2- 25y^2 = 1

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

Q: Find the vertices, foci, and asymptotes of the hyperbola, and sketch its graph.

​

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

Q: Find the foci of the hyperbola.

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4x^2- 25y^2 = 100

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- (0, -25), (0, 25) (Incorrect)
- (0, 2), (0, -2) (Incorrect)
- [Image] (Correct)
- (2, 0), (-2, 0) (Incorrect)
- [Image] (Incorrect)
A: [Image]

Q: Find the vertices, foci, and asymptotes of the hyperbola, and sketch its graph.

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x^2- y^2 + 16 = 0

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

Q: Find the foci of the hyperbola.

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x^2- y^2 + 9 = 0

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- [Image] (Incorrect)
- (0, -3), (0, 3) (Incorrect)
- (-9, 0), (9, 0) (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
A: [Image]

Q: Find the vertices, foci, and asymptotes of the hyperbola, and sketch its graph.

​

[Image]

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

Q: Find the asymptotes of the hyperbola.

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9y^2- x^2 = 1

​
- [Image] (Incorrect)
- none of these (Incorrect)
- [Image] (Incorrect)
- [Image] (Correct)
- [Image] (Incorrect)
A: [Image]

Q: Find the vertices, foci, and asymptotes of the hyperbola, and sketch its graph.

​

[Image]

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