Some graphs will allow you to manipulate the endpoints of given lines or curves. When you select an endpoint mover line, the endpoints will appear as empty white points that can be selected and moved to one of three prespecifiedsnap points(including the original position).

How do I know whether a line on a graph is movable?

All endpoint mover objects will be accompanied by a greyed-out, labeled symbol on the palette, like the one shown on the following graph. As with other graphical objects that appear greyed out on the palette, this signifies an object on the graph that you can manipulate.

Experiment with manipulating the shape of the line given on the following graph by selecting and dragging each endpoint.

A sample problem using the endpoint mover

Imagine the line on the following graph represents the original plan for a slide being built as part of a new playground. Suppose local parents are concerned that the slide is too steep, and so they ask to decrease the height of the slide while keeping the baseline the same.

Adjust the position of the line so that the new plans for the slide reflect the local parents' concern.

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Will the endpoint mover always appear as a straight line?

The endpoint mover tool can also be used with a curved line. Suppose the curve on the following graph represents the side view of a hill. In winter, snow piles up on the hill, increasing its height (but leaving the width unchanged).

Adjust the position of the curve to reflect the change in the hill shape due to the snow.

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True or False: When using the endpoint mover, you will receive credit only if both endpoints are positioned correctly.

True

False