Question

Triangle JKL is translated using (x, y) --> (x + 1, y - 3) after it is reflected across the x-axis. What are the

coordinates of the final image of point under this composition of transformations?

help please

Answer 1

(1, - 6 )

Explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

The point J has coordinates (0, 3 ), hence

J'(0, - 3 ) ← after reflection in x- axis

A translation (x, y ) → (x + 1, y - 3 )

Means add 1 to the x- coordinate and subtract 3 from the y- coordinate

J'(0, - 3 ) → J''(0 + 1, - 3 - 3 ) → J''(1, - 6 ) ← final image