Answer:
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)
