Manipulating Functions by Dragging

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Manipulating Functions by Dragging

Some types of functions can be translated, stretched, and/or rotated by dragging parts of the graph. As you drag, the expression for the graph updates to reflect the change.

	Drag graph from the ends to rotate.
	Drag graph near the middle to translate.

Manipulating a Linear Function

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To translate, grab near the middle of the graph, and then drag.

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To rotate, grab near the ends of the graph, and then drag.

Manipulating a Quadratic Function

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To translate, grab near the vertex of the graph, and then drag.

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To stretch, grab away from the vertex of the graph, and then drag.

Manipulating a Sine or Cosine Function

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To translate, grab near the axis of vertical symmetry of the graph, and then drag.

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To stretch, grab away from the axis of vertical symmetry of the graph, and then drag.