Question

A point B has coordinates (2, 3). The point is translated 3 to the left and 5 up to form B’. B’ is reflected across the x-axis to form B’’. What are the coordinates of B’ and B’’?

Answer 1

B' = (-1, 8)

B'' = (-1, -8)

Explanation:

Given point:

• B = (2, 3)

The rule for a translation of 3 units left and 5 units up is:

(x, y) → (x - 3, y + 5)

Therefore:

• B' = (2 - 3, 3 + 5) = (-1, 8)

The rule for a reflection over the x -axis is:

(x, y) → (x, -y)

Therefore:

• B'' = (-1, -8)