Question - Point Dilation by Scale Factor at Origin

Solution:

To find the image of a point after a dilation by a scale factor centered at the origin, you can multiply each coordinate of the point by the scale factor.The given point is $$(-4, -8)$$, and the scale factor is $$\frac{1}{4}$$.Therefore, the image of this point after dilation will be:$$(-4 \times \frac{1}{4}, -8 \times \frac{1}{4}) = (-1, -2)$$So the image of the point $$(-4, -8)$$ after a dilation by a scale factor of $$\frac{1}{4}$$ centered at the origin is $$(-1, -2)$$.

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