Question

On a coordinate grid, both point (1, 2) and point (−3, −3) are reflected across the y-axis. What are the coordinates of the reflected points?

(−1, 2) and (3, −3)
(−1, −2) and (3, 3)
(1, −2) and (−3, 3)
(1, 2) and (3, 3)

Answer 1

The coordinates of the reflected points are:

(-1,2) and (3,-3)

Explanation:

When we reflect the figure across the y-axis then the rule of the transformation is given by:

(x,y) → (-x,y)

i.e. each point on the figure is transformed as the x-coordinate of the point takes the opposite sign and the y-coordinate remains the same.

Hence,

(1,2) → (-1,2)

and (-3,-3) → (-(-3),-3)

i.e.

(-3,-3) → (3,-3)