What is the image of (2, 1) after a dilation by a scale factor of 4 centered at the origin?
HELP

The image of the point is (8, 4)

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 solve the question

∵ The point is (2, 1)

∴ x = 2 and y = 1

∵ The point dilated by a scale factor of 4 centered at the origin

∴ k = 4

→ By using the rule above multiply each coordinate of the point by 4

∵ The image of the point is (kx, ky)

∵ kx = 4 × 2

∴ kx = 8

∵ ky = 4 × 1

∴ ky = 4

∴ The image of the point is (8, 4)

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step-by-step explanation:

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