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Remember that a circle centred at the origin was defined by the standard equation: x2 + y2 = r2.

When the centre of the circle was translated from the origin to a point (h, k), the standard equation changed to:(x - h)2 + (y - k)2 = r2.

You know that an ellipse centred at the origin is defined by the equation: x2 + y2 = 1 a2 b2

When the centre of an ellipse is moved or translated to point (h, k), the standard equation changes in the same way as the circle.

The standard equation of an ellipse centred at (h, k) is defined by: (x - h)2 + (y - k)2 = 1 a2 b2

The following activities will explore the standard equation of an ellipse centred at the point (h, k).

(x - h)2	+	(y - k)2	= 1
a2		b2

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