What is the image of (-6,-4) after a dilation by a scale factor of 3 centered at the

origin?

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What is the image of (-6,-4) after a dilation by a scale factor of 3 centered at the

origin?

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Answer:The image of the point is

(-18, -12)Step-by-step explanation:If the point(x, y)dilated by a scale factorkcentered at theorigin, then its image is(kx, ky)Let us use this rule to solve the question

∵ The given point is

(-6, -4)∴ x = -6 and y = -4

∵ The scale factor of the dilation is 3

∴

k = 3∵ The

centerof dilation is theorigin→ By using the rule above

∴ The image of the point = (-6 × 3, -4 × 3)

∴ The image of the point = (-18, -12)

∴

The image of the point is (-18, -12)