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question what is the image of $(-3,2)$ after a dilation by a scale fact…

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question
what is the image of $(-3,2)$ after a dilation by a scale factor of 2 centered at the origin?
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Explanation:

Step1: Recall dilation rule

For a dilation centered at the origin with scale factor \( k \), the image of a point \( (x, y) \) is \( (kx, ky) \).

Step2: Apply the rule to the point

Given the point \( (-3, 2) \) and scale factor \( 2 \), we calculate the new \( x \)-coordinate: \( -3\times2=-6 \) and the new \( y \)-coordinate: \( 2\times2 = 4 \).

Answer:

\((-6, 4)\)