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

Question

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

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King 7 months 2021-07-29T20:48:07+00:00 1 Answers 8 views 0

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    2021-07-29T20:49:15+00:00

    Answer:

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

    Step-by-step explanation:

    If the point (x, y) dilated by a scale factor k centered at the origin, 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 center of dilation is the origin

    → 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)

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