Graphing a Circle
For this assignment, you will be given information about circles and asked to graph them. In some cases, the equation will be given and in others, information about the center, radius and/or diameter will be given and you will need to write the equation and graph the circle. In all graphs, the center and at least four points on the circle should be labeled with coordinate points – for instance, (4, 0).
Scoring Guide – 50 Points Possible
Points Received | Points Possible |
|
| 1) Graph the circle (x – 4)2 + (y – 2)2 = 25. | |
| 1 | Center |
| 4 | 4 other points on the circle were correctly labeled |
| 2) Graph the circle (x + 2)2+ (y + 1)2= 32 | |
| 1 | Center |
| 4 | 4 other points on the circle were correctly labeled |
| 3) Graph the circle x2+ (y + 2)2= 9. | |
| 1 | Center |
| 4 | 4 other points on the circle were correctly labeled |
|
| 4) Graph the circle with center at (4, 0) and radius 3. Write the equation of the circle. |
| 1 | Center was labeled correctly. |
| 2 | 4 other points on the circle were correctly labeled |
| 2 | Equation of the Circle |
|
| 5) Graph the circle with center at (-4, 2) and radius 5. Write the equation of the circle. |
| 1 | Center was labeled correctly. |
| 2 | 4 other points on the circle were correctly labeled |
| 2 | Equation of the Circle |
|
| 6) Graph the circle with center at (-1, 2) and diameter 12. |
| 1 | Center was labeled correctly. |
| 2 | 4 other points on the circle were correctly labeled |
| 2 | Equation of the Circle |
|
| 7) Graph the circle with center at (3, -2), which also passes through the point (0, 2). |
| 1 | Center was labeled correctly. |
| 2 | 4 other points on the circle were correctly labeled |
| 2 | Equation of the Circle |
|
| 8) Graph the circle with center at (-1, -2), which also passes through the point (0, 2). |
| 1 | Center was labeled correctly. |
| 2 | 4 other points on the circle were correctly labeled |
| 2 | Equation of the Circle |
|
| 9) Graph the equation with a diameter that has endpoints at (-3, 4) and (5, -2). |
| 1 | Center was located and labeled correctly |
| 2 | 4 other points on the circle were correctly labeled |
| 2 | Equation of the Circle |
|
| 10) Graph the equation with a diameter that has endpoints at (-2, -2) and (4, 2). |
| 1 | Center was located and labeled correctly |
| 2 | 4 other points on the circle were correctly labeled |
| 2 | Equation of the Circle |
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