Standard Form of a CircleAuthor: Adams Dawn
Description: Match the quadratic form of the circle equation to its standard form.
Keywords: , , , , , , online teaching
Content:
Definitions:
0. (x %2b3)^2 %2b (y %2b 4)^2 = 1
1. (x -1)^2 %2b (y - 4)^2 = 2
2. (x %2b 5)^2 %2b (y %2b 1)^2 = 5
3. (x %2b1)^2 %2b (y %2b 4)^2 = 2
4. (x %2b 2)^2 %2b (y %2b3)^2 = 10
5. (x -7)^2 %2b (y %2b 3)^2 = 6
6. (x - 3)^2 %2b (y - 4)^2 = 1
7. (x - 2)^2 %2b (y -3)^2 = 10
8. (x - 5)^2 %2b (y -1)^2 = 5
9. (x %2b 2)^2 %2b (y -3)^2 = 10
10. (x %2b 5)^2 %2b (y -1)^2 = 5
11. (x %2b7)^2 %2b (y %2b 3)^2 = 6
12. (x %2b7)^2 %2b (y - 3)^2 = 6
13. (x -1)^2 %2b (y %2b 4)^2 = 2
14. (x -7)^2 %2b (y - 3)^2 = 6
15. (x -3)^2 %2b (y %2b 4)^2 = 1
Answers:
0. x^2 %2b y^2 %2b 14x - 6y %2b 52 =0
1. x^2 %2b y^2 - 4x - 6y %2b 3 =0
2. x^2 %2b y^2 - 6x %2b 8y %2b 24 =0
3. x^2 %2b y^2 %2b 4x - 6y %2b 3 =0
4. x^2 %2b y^2 - 2x %2b 8y %2b 15 =0
5. x^2 %2b y^2%2b 6x %2b 8y %2b 24 =0
6. x^2 %2b y^2 - 2x - 8y %2b 15 =0
7. x^2 %2b y^2 %2b 4x %2b 6y %2b 3 =0
8. x^2 %2b y^2 %2b 2x %2b 8y %2b 15 =0
9. x^2 %2b y^2 - 10x - 2y %2b 21 =0
10. x^2 %2b y^2 %2b 14x %2b 6y %2b 52 =0
11. x^2 %2b y^2 - 6x - 8y %2b 24 =0
12. x^2 %2b y^2 - 14x - 6y %2b 52 =0
13. x^2 %2b y^2 - 14x %2b 6y %2b 52 =0
14. x^2 %2b y^2 %2b 10x - 2y %2b 21 =0
15. x^2 %2b y^2 %2b 10x %2b 2y %2b 21 =0
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