Question - Dilation of a Point
Solution:
The question is asking for the image of the point (12, −4) after a dilation by a scale factor of $$ \frac{1}{3} $$, centered at the origin.To find the image of a point after dilation, you multiply the coordinates of the original point by the scale factor. Here the scale factor is $$ \frac{1}{3} $$.Thus, the transformed coordinates (x', y') of the original point (x, y) = (12, −4) would be calculated by:x' = x * scale factory' = y * scale factorCalculating these:x' = 12 * $$ \frac{1}{3} $$ = 4y' = −4 * $$ \frac{1}{3} $$ = −$$ \frac{4}{3} $$Therefore, the image of the point (12, −4) after the dilation is (4, −$$ \frac{4}{3} $$).
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