anonymous
  • anonymous
What are the coordinates of the image of the point (2, –4) after a dilation with a center of (0, 0) and scale factor of 4?
Mathematics
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anonymous
  • anonymous
What are the coordinates of the image of the point (2, –4) after a dilation with a center of (0, 0) and scale factor of 4?
Mathematics
katieb
  • katieb
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
Since the center of the dilation is (0,0) [the same as the origin of the coordinate system], simply multiply the coordinates for the point by the dilation factor: (-2*5, -2*6) = (-10, 30). [When the center of the dilation is not the origin, then use vector addition: add (sum) the vector from the center of the dilation to the origin and the vector from the origin to the point; multiply this sum vector by the dilation factor MINUS ONE; add this product vector to the vector from the origin to the point. This is like translating the origin of the coordinate system to the center of the dilation, performing the dilation, then translating the origin back to (0,0) (hence the minus one...).]
anonymous
  • anonymous
Oops, that second coordinate multiplied by the dilation factor should have been 6*5 [so -2*5,6*5)]; the answer given is right, though -- (-10, 30).

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