What is the image of (4,7) after a dilation by a scale factor of 2 centered at the origin?

The image of the point after dilation by a scale factor 2 centered at the origin is (8, 14)

Step-by-step explanation:

If the point (x, y) dilated by a scale factor k centered at the origin, then its image is (k x, k y)

Let us use this rule to answer the question

∵ The point is (4, 7)

∵ It is dilated by a scale factor of 2 centered at the origin

∴ k = 2

→ Multiply the coordinated of the point by 2 to find its image

∴ The image of the point = (4 × 2, 7 × 2)

∴ The image of the point = (8, 14)

∴ The image of the point after dilation by a scale factor 2 centered

   at the origin is (8, 14)

40 is the final : )