Homework Help is Here – Start Your Trial Now!
Math
Geometry
POSSIBLE POINTS Match each equation to its appropriate graph. (z- 2) + (y+ 1) = 36 (z+1)2 + (y+3)2 = 9 (z – 1)2 + (y- 3)2² =9 (z - 2)2 + (y+3) = 4 %23 IIII ::

POSSIBLE POINTS Match each equation to its appropriate graph. (z- 2) + (y+ 1) = 36 (z+1)2 + (y+3)2 = 9 (z – 1)2 + (y- 3)2² =9 (z - 2)2 + (y+3) = 4 %23 IIII ::

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
See similar textbooks
icon
Related questions
icon
Concept explainers
Question
### Match Each Equation to Its Appropriate Graph In this exercise, students are asked to match each given equation of a circle to its corresponding graph. Below are the provided equations and their matching graphs. #### Equations: 1. \((x - 2)^2 + (y + 1)^2 = 36\) 2. \((x + 1)^2 + (y + 3)^2 = 9\) 3. \((x - 1)^2 + (y - 3)^2 = 9\) 4. \((x - 2)^2 + (y + 3)^2 = 4\) #### Graph Descriptions: - **Graph 1 (Top Left):** Plot of a circle centered at \((0,0)\) with a radius of 6 units. - **Graph 2 (Top Right):** Plot of a circle centered at \((2,-1)\) with a radius of 6 units. - **Graph 3 (Bottom Left):** Plot of a circle centered at \((0, -3)\) with a radius of 2 units. - **Graph 4 (Bottom Right):** Plot of a circle centered at \((1, 3)\) with a radius of 3 units. Students should use the center and radius from the standard form of the equation of a circle \((x - h)^2 + (y - k)^2 = r^2\) to match each equation to the correct graph. ### Solution: - For the equation \((x - 2)^2 + (y + 1)^2 = 36\): - Center: \((2, -1)\) - Radius: \(6\) - Corresponding Graph: **Graph 1** - For the equation \((x + 1)^2 + (y + 3)^2 = 9\): - Center: \((-1, -3)\) - Radius: \(3\) - Corresponding Graph: **Graph 4** - For the equation \((x - 1)^2 + (y - 3)^2 = 9\): - Center: \((1, 3)\) - Radius: \(3\) - Corresponding Graph: **Graph 2** - For the equation \((x - 2)^2 + (y
Transcribed Image Text:### Match Each Equation to Its Appropriate Graph In this exercise, students are asked to match each given equation of a circle to its corresponding graph. Below are the provided equations and their matching graphs. #### Equations: 1. \((x - 2)^2 + (y + 1)^2 = 36\) 2. \((x + 1)^2 + (y + 3)^2 = 9\) 3. \((x - 1)^2 + (y - 3)^2 = 9\) 4. \((x - 2)^2 + (y + 3)^2 = 4\) #### Graph Descriptions: - **Graph 1 (Top Left):** Plot of a circle centered at \((0,0)\) with a radius of 6 units. - **Graph 2 (Top Right):** Plot of a circle centered at \((2,-1)\) with a radius of 6 units. - **Graph 3 (Bottom Left):** Plot of a circle centered at \((0, -3)\) with a radius of 2 units. - **Graph 4 (Bottom Right):** Plot of a circle centered at \((1, 3)\) with a radius of 3 units. Students should use the center and radius from the standard form of the equation of a circle \((x - h)^2 + (y - k)^2 = r^2\) to match each equation to the correct graph. ### Solution: - For the equation \((x - 2)^2 + (y + 1)^2 = 36\): - Center: \((2, -1)\) - Radius: \(6\) - Corresponding Graph: **Graph 1** - For the equation \((x + 1)^2 + (y + 3)^2 = 9\): - Center: \((-1, -3)\) - Radius: \(3\) - Corresponding Graph: **Graph 4** - For the equation \((x - 1)^2 + (y - 3)^2 = 9\): - Center: \((1, 3)\) - Radius: \(3\) - Corresponding Graph: **Graph 2** - For the equation \((x - 2)^2 + (y
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Ellipses
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS