The graph is a hyperbola with foci, vertices, and asymptotes. The points on the y-axis are: (0,3) and (0, -3). The points on the x-axis (left to right) are: (-√34,0), (-5,0), (5,0), (√34,0). Choose the correct coordinates of the vertices below. OA. (0,3) and (0, -3) OB. (-5,0) and (5,0) OC. (0,0).(-5,0) and (5,0) Choose the correct coordinates of the foci below. A. (-√34,0) and (√34,0) O B. (0,3) and (0, -3) O C. (-5,0) and (5,0) The equations of the asymptotes are as follows. y = (Simplify your answer. Type an integer or a fraction.) ←
The graph is a hyperbola with foci, vertices, and asymptotes. The points on the y-axis are: (0,3) and (0, -3). The points on the x-axis (left to right) are: (-√34,0), (-5,0), (5,0), (√34,0). Choose the correct coordinates of the vertices below. OA. (0,3) and (0, -3) OB. (-5,0) and (5,0) OC. (0,0).(-5,0) and (5,0) Choose the correct coordinates of the foci below. A. (-√34,0) and (√34,0) O B. (0,3) and (0, -3) O C. (-5,0) and (5,0) The equations of the asymptotes are as follows. y = (Simplify your answer. Type an integer or a fraction.) ←
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**Hyperbola Graph with Foci, Vertices, and Asymptotes**
- **Points on the y-axis**: (0, 3) and (0, -3).
- **Points on the x-axis** (left to right): \((- \sqrt{34}, 0)\), (-5, 0), (5, 0), \(( \sqrt{34}, 0)\).
**Choose the correct coordinates of the vertices below**:
- A. (0, 3) and (0, -3)
- B. \((-5, 0)\) and (5, 0) **(Correct)**
- C. (0, 0), \((-5, 0)\) and (5, 0)
**Choose the correct coordinates of the foci below**:
- A. \((- \sqrt{34}, 0)\) and \( ( \sqrt{34}, 0) \) **(Correct)**
- B. (0, 3) and (0, -3)
- C. \((-5, 0)\) and (5, 0)
**The equations of the asymptotes are as follows**:
\[ y = \pm \frac{3}{5} x \]
(Simplify your answer. Type an integer or a fraction.)
**Graph Explanation**:
- The image displays a hyperbola centered at the origin (0,0) on a coordinate grid.
- The hyperbola opens horizontally, with vertices marked in red at (-5, 0) and (5, 0).
- The foci marked in green are positioned at approximately \((- \sqrt{34}, 0)\) and \( (\sqrt{34}, 0)\).
- Asymptotes are shown as dashed blue lines, intersecting the origin with slopes of \(\pm \frac{3}{5}\).
- The grid illustrates the classic x and y axes, allowing for easy reference of the coordinates provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F305b4c64-be0b-4bee-85c5-46d5156dfe95%2F7fa131da-ac2c-42fb-8171-919f034e89be%2Fmwryz8_processed.png&w=3840&q=75)
Transcribed Image Text:**Hyperbola Graph with Foci, Vertices, and Asymptotes**
- **Points on the y-axis**: (0, 3) and (0, -3).
- **Points on the x-axis** (left to right): \((- \sqrt{34}, 0)\), (-5, 0), (5, 0), \(( \sqrt{34}, 0)\).
**Choose the correct coordinates of the vertices below**:
- A. (0, 3) and (0, -3)
- B. \((-5, 0)\) and (5, 0) **(Correct)**
- C. (0, 0), \((-5, 0)\) and (5, 0)
**Choose the correct coordinates of the foci below**:
- A. \((- \sqrt{34}, 0)\) and \( ( \sqrt{34}, 0) \) **(Correct)**
- B. (0, 3) and (0, -3)
- C. \((-5, 0)\) and (5, 0)
**The equations of the asymptotes are as follows**:
\[ y = \pm \frac{3}{5} x \]
(Simplify your answer. Type an integer or a fraction.)
**Graph Explanation**:
- The image displays a hyperbola centered at the origin (0,0) on a coordinate grid.
- The hyperbola opens horizontally, with vertices marked in red at (-5, 0) and (5, 0).
- The foci marked in green are positioned at approximately \((- \sqrt{34}, 0)\) and \( (\sqrt{34}, 0)\).
- Asymptotes are shown as dashed blue lines, intersecting the origin with slopes of \(\pm \frac{3}{5}\).
- The grid illustrates the classic x and y axes, allowing for easy reference of the coordinates provided.
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