1. What is the center and radius of the circle x² + (y + 3)² = 7? 2. Find the diameter and area of the circle x2 + y? = 49. 3. What is the equation of the circle through the x-intercept of 5x – 8y = -10 and center at (5, 1)? 4. What is the standard equation of circle x? + y2 – 2x + 4y + 1 = 0? 5. Find the vertex and focus of the parabola y2 = 24x.

Algebra and Trigonometry (MindTap Course List)
4th Edition
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Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.CR: Chapter Review
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Question
I.
Problem Solving.
1. What is the center and radius of the circle x? + (y + 3)² = 7?
2. Find the diameter and area of the circle x2 + y? = 49.
3. What is the equation of the circle through the x-intercept of 5x – 8y = -10
and center at (5, 1)?
4. What is the standard equation of circle x2 + y2 – 2x + 4y + 1 = 0?
5. Find the vertex and focus of the parabola y? = 24x.
6. What is the standard equation of the parabola x2 -8x – y + 3 = 0?
7. What is the equation of a parabola with vertex at (2, –5) and focus at (0, –5)?
8. Identify the center and foci of the ellipse x? + 4y? = 12.
9. What is the standard equation of the ellipse with center at the origin, foci at
(-6, 0) and (6, 0)?
10. Identify the standard equation of an ellipse with center at (3, 2), focus at
(3, 5) and vertex at (3, 6).
Transcribed Image Text:I. Problem Solving. 1. What is the center and radius of the circle x? + (y + 3)² = 7? 2. Find the diameter and area of the circle x2 + y? = 49. 3. What is the equation of the circle through the x-intercept of 5x – 8y = -10 and center at (5, 1)? 4. What is the standard equation of circle x2 + y2 – 2x + 4y + 1 = 0? 5. Find the vertex and focus of the parabola y? = 24x. 6. What is the standard equation of the parabola x2 -8x – y + 3 = 0? 7. What is the equation of a parabola with vertex at (2, –5) and focus at (0, –5)? 8. Identify the center and foci of the ellipse x? + 4y? = 12. 9. What is the standard equation of the ellipse with center at the origin, foci at (-6, 0) and (6, 0)? 10. Identify the standard equation of an ellipse with center at (3, 2), focus at (3, 5) and vertex at (3, 6).
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