Question - Dilation of a Point

Solution:

To find the image of the point (-8, -4) after a dilation by a scale factor of $$ \frac{1}{4} $$ centered at the origin, you multiply each coordinate of the original point by the scale factor.So, the new coordinates would be:$$ x' = x \cdot \frac{1}{4} = -8 \cdot \frac{1}{4} = -2 $$$$ y' = y \cdot \frac{1}{4} = -4 \cdot \frac{1}{4} = -1 $$Therefore, the image of the point (-8, -4) after the dilation is (-2, -1).

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