Expert answer:Pre-Calc Conic Sections

Expert answer:There is a total of 20 questions all pertaining to conic sections. For all questions, you must show your work fully. My teacher grades based off correctness and explanation. Included are the assignment as a pdf and word document. Please let me know if you have any questions.
unit_5_lesson_1_3_homework_assignment.docx

unit_5_lesson_1_3_homework_assignment.pdf

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Name:
Date:
Graded Assignment
Checkup: 5.01 – 5.03
Answer the following questions using what you’ve learned from these lessons. Write your
responses in the space provided, and turn the assignment in to your instructor.
1. Find the equation of the given circle:
2. Identify the center and radius for the following equation:  x  1   y  3   49
2
2
3. Identify the center and radius for the following equation:  x  8   y 2  43
2
4. Write the equation of the circle with center  7,  2 and radius
5. Graph the following circle:  x  1   y  2   9
2
2
61 .
6. Identify the center and radius for the following equation: x 2  y 2  12 x  6 y  45  0
Questions 7 – 10 are for the ellipse defined by the following equation:
 x  4
36
7. What are the coordinates of the center?
8. What are the coordinates of the foci?
9. What are the coordinates of the vertices? Be sure to include all four.
10. Draw a sketch of the ellipse.
2

 y  2
16
2
1
Questions 11 – 14 are for the ellipse pictured below:
11. What are the coordinates of the center point?
12. What is the length of the major axis?
13. What is the length of the minor axis?
14. Find the equation of the ellipse.
For questions 15 and 16, identify the type of conic section (circle, hyperbola, or ellipse).
 x  10 
15.
2

10
 y  1
16.
2

30
 y  2
2
10
 x  1
1
2
1
25
For each hyperbola, find the coordinates of the vertices and foci.
 y  1
17.
25
2
  x  2  1
2
Write the equation of the hyperbola.
18. Foci:  3, 0, 1, 0 
Vertices:  2, 0 , 0, 0 
The equation for the asymptote when the transverse axis is horizontal is: y  
The equation for the asymptote when the transverse axis is vertical is: y  
Using this information, write the equation of the hyperbola.
19. Vertices:  4, 0 ,  4, 0 
Asymptotes: y 
1
1
x, y   x
3
3
20. Sketch the graph of the hyperbola.
 y  1
25
2
  x  2  1
2
b
 x  h  k
a
a
 x  h  k
b
Name:
Date:
Graded Assignment
Checkup: 5.01 – 5.03
Answer the following questions using what you’ve learned from these lessons. Write your
responses in the space provided, and turn the assignment in to your instructor.
1. Find the equation of the given circle:
2. Identify the center and radius for the following equation:  x  1   y  3   49
2
2
3. Identify the center and radius for the following equation:  x  8   y 2  43
2
4. Write the equation of the circle with center  7,  2 and radius
5. Graph the following circle:  x  1   y  2   9
2
2
61 .
6. Identify the center and radius for the following equation: x 2  y 2  12x  6y  45  0
Questions 7 – 10 are for the ellipse defined by the following equation:
 x  4
36
7. What are the coordinates of the center?
8. What are the coordinates of the foci?
9. What are the coordinates of the vertices? Be sure to include all four.
10. Draw a sketch of the ellipse.
2

 y  2
16
2
1
Questions 11 – 14 are for the ellipse pictured below:
11. What are the coordinates of the center point?
12. What is the length of the major axis?
13. What is the length of the minor axis?
14. Find the equation of the ellipse.
For questions 15 and 16, identify the type of conic section (circle, hyperbola, or ellipse).
 x  10 
15.
2

10
 y  1
16.
2

30
 y  2
2
10
 x  1
1
2
1
25
For each hyperbola, find the coordinates of the vertices and foci.
 y  1
17.
25
2
  x  2  1
2
Write the equation of the hyperbola.
18. Foci:  3, 0 , 1, 0 
Vertices:  2, 0  ,  0, 0 
The equation for the asymptote when the transverse axis is horizontal is: y  
The equation for the asymptote when the transverse axis is vertical is: y  
Using this information, write the equation of the hyperbola.
19. Vertices:  4, 0  ,  4, 0 
Asymptotes: y 
1
1
x, y   x
3
3
20. Sketch the graph of the hyperbola.
 y  1
25
2
  x  2  1
2
b
 x  h  k
a
a
 x  h  k
b
…
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