Tutorials--Conic Sections

Conic Sections

OverviewThis set of tutorials provides 49 examples of graphs of Conic Sections, including:•Graphs of Circles (Examples 1-7). Graphing a conic section of the form (x – h)2 + (y – k)2 = r2.•Graphs of Parabolas (Examples 8-21). Graphing a conic section of the form (y – k)2 – (x – h) = 0 or (x – k)2 – (y – h) = 0.•Graphs of Ellipses (Examples 22-35). Graphing a conic section of the form (x – h)2/a2 + (y – k)2/b2 = 1.•Graphs of Hyperbolas (Examples 36-49). Graphing a conic section of the form (x – h)2/a2 - (y – k)2/b2 = 1 or -(x – h)2/a2 + (y – k)2/b2 = 1.

Example 1: The graph of a circle centered at the origin

Example 2: The graph of a circle centered on the x-axis

Example 3: The graph of a circle centered on the y-axis

Example 4: The graph of a circle centered in quadrant 1

Example 5: The graph of a circle centered in quadrant 2

Example 6: The graph of a circle centered in quadrant 3

Example 7: The graph of a circle centered in quadrant 4

Example 8: The graph of a parabola with vertex at the origin

Example 9: The graph of a parabola with vertex on the x-axis

Example 10: The graph of a parabola with vertex on the y-axis

Example 11: The graph of a parabola with vertex in quadrant 1

Example 12: The graph of a parabola with vertex in quadrant 2

Example 13: The graph of a parabola with vertex in quadrant 3

Example 14: The graph of a parabola with vertex in quadrant 4

Example 15: The graph of a parabola with vertex at the origin

Example 16: The graph of a parabola with vertex on the x-axis

Example 17: The graph of a parabola with vertex on the y-axis

Example 18: The graph of a parabola with vertex in quadrant 1

Example 19: The graph of a parabola with vertex in quadrant 2

Example 20: The graph of a parabola with vertex in quadrant 3

Example 21: The graph of a parabola with vertex in quadrant 4

Example 22: The graph of an ellipse centered at the origin, a > b

Example 23: The graph of an ellipse at the origin, b > a

Example 24: The graph of an ellipse on the x-axis, a > b

Example 25: The graph of an ellipse on the x-axis, b > a

Example 26: The graph of an ellipse on the y-axis, a > b

Example 27: The graph of an ellipse on the y-axis, b > a

Example 28: The graph of an ellipse in quadrant 1, a > b

Example 29: The graph of an ellipse in quadrant 1, b > a

Example 30: The graph of an ellipse in quadrant 2, a > b

Example 31: The graph of an ellipse in quadrant 2, b > a

Example 32: The graph of an ellipse in quadrant 3, a > b

Example 33: The graph of an ellipse in quadrant 3, b > a

Example 34: The graph of an ellipse in quadrant 4, a > b

Example 35: The graph of an ellipse in quadrant 4, b > a

Example 36: The graph of a hyperbola centered at the origin, horizontal major axis

Example 37: The graph of a hyperbola centered at the origin, vertical major axis

Example 38: The graph of a hyperbola centered on the x-axis, horizontal major axis

Example 39: The graph of a hyperbola centered on the x-axis, vertical major axis

Example 40: The graph of a hyperbola centered on the y-axis, horizontal major axis

Example 41: The graph of a hyperbola centered on the y-axis, vertical major axis

Example 42: The graph of a hyperbola centered in quadrant 1, horizontal major axis

Example 43: The graph of a hyperbola centered in quadrant 1, vertical major axis

Example 44: The graph of a hyperbola centered in quadrant 2, horizontal major axis

Example 45: The graph of a hyperbola centered in quadrant 2, vertical major axis

Example 46: The graph of a hyperbola centered in quadrant 3, horizontal major axis

Example 47: The graph of a hyperbola centered in quadrant 3, vertical major axis

Example 48: The graph of a hyperbola centered in quadrant 4, horizontal major axis

Example 49: The graph of a hyperbola centered in quadrant 4, vertical major axis