Question

dilation of a point
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question
what is the image of (-2, -6) after a dilation by a scale factor of 4 centered at the origin?
answer attempt 5 out of 6
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Explanation:

Step1: Recall Dilation Formula

For a dilation centered at the origin with scale factor \( k \), the image of a point \( (x, y) \) is \( (k \cdot x, k \cdot y) \). Here, \( k = 4 \) and the original point is \( (-2, -6) \).

Step2: Apply the Formula

Calculate the \( x \)-coordinate of the image: \( 4 \times (-2) = -8 \).
Calculate the \( y \)-coordinate of the image: \( 4 \times (-6) = -24 \).

Answer:

\((-8, -24)\)