Tutorials--Conic Sections
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Transcript of 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