Question

Find the translation rule and the scale factor of the dilation that transforms ⨀H to ⨀H'.

A) (x, y) → (x + 2, y + 7); scale factor = 2

B) (x, y) → (x + 2, y + 7); scale factor = 4

C) (x, y) → (x + 7, y + 2); scale factor = 2

D) (x, y) → (x + 7, y + 2); scale factor = 4

Answer 1

Circle H has a radius of 2, while circle H' has a radius of 4, so the scale factor should be 2.
The center point of circle H would have to move to the right 2 and up 7 to overlap with the center point of circle H'; for this graph, x is horizontal and y is vertical, so I think you can figure out that transformation, yea?

Answer 2

Yes thank you