tutorials--conic sections
DESCRIPTION
The complete set of 49 examples that make up this set of tutorials.TRANSCRIPT
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