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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![**Graphing a Circle Using a Graphing Calculator**
To graph the circle using a graphing calculator on an approximate square viewing window, consider the equation:
\[ x^2 + y^2 = 25 \]
**Task:**
Choose the correct graph.
**Explanation of the Graphs:**
1. **Top Left Graph:**
- A large circle is centered at the origin (0,0).
- The radius is approximately 5 units, as indicated by the intersection points at (5,0), (-5,0), (0,5), and (0,-5).
2. **Top Right Graph:**
- A smaller circle centered at the origin.
- The radius is smaller than the required 5 units.
3. **Bottom Left Graph:**
- This graph shows a large circle centered at the origin.
- Like the top left, it has a radius of 5 units, with intersection points at (5,0), (-5,0), (0,5), and (0,-5).
4. **Bottom Right Graph:**
- A very small circle centered at the origin.
- The radius is significantly less than 5 units.
To identify the correct graph, look for the circle with a radius of 5 units, which corresponds to the equation \( x^2 + y^2 = 25 \). The correct options are the top left and bottom left graphs.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda7efc63-2e78-4a9f-8151-e38bdf7fad02%2F774746ca-105e-430d-ad82-4d5a7fb17955%2Fd29c6ba_processed.png&w=3840&q=75)
Transcribed Image Text:**Graphing a Circle Using a Graphing Calculator**
To graph the circle using a graphing calculator on an approximate square viewing window, consider the equation:
\[ x^2 + y^2 = 25 \]
**Task:**
Choose the correct graph.
**Explanation of the Graphs:**
1. **Top Left Graph:**
- A large circle is centered at the origin (0,0).
- The radius is approximately 5 units, as indicated by the intersection points at (5,0), (-5,0), (0,5), and (0,-5).
2. **Top Right Graph:**
- A smaller circle centered at the origin.
- The radius is smaller than the required 5 units.
3. **Bottom Left Graph:**
- This graph shows a large circle centered at the origin.
- Like the top left, it has a radius of 5 units, with intersection points at (5,0), (-5,0), (0,5), and (0,-5).
4. **Bottom Right Graph:**
- A very small circle centered at the origin.
- The radius is significantly less than 5 units.
To identify the correct graph, look for the circle with a radius of 5 units, which corresponds to the equation \( x^2 + y^2 = 25 \). The correct options are the top left and bottom left graphs.
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