Question

What would be the new coordinates of a point that starts at (5,9) and is dilated by a scale factor of 2 and then translated 3 up and 2 right?

Answer 1

(12. 21)

Explanation:

Given the coordinate (5, 9), if it is dilated by a factor of 2, the resulting coordinate will be expressed as;

P = 2(5, 9)

P = (2(5), 2(9))

P = (10, 18)

If it is now translated 3 up and 2 right, then the final coordinate will be at;

P' = (10+2, 18+3)

P' = (12, 21)

Hence the final image will be at (12. 21)