Question

Point P is located at (-3,5)

Point P' is the image of P after a translation three units to the left, then a reflection using the x-axis.
Find the coordinates of P'

Answer 1

P' (- 7, - 5 )

Explanation:

A translation of 3 units to the left means subtractin 3 from the x- coordinate with no change to the y- coordinate, thus

P(- 3, 5 ) → (- 3 - 4, 5 ) → (- 7, 5 )

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(- 7, 5 ) → P'(- 7, - 5 )