Question

On a coordinate grid, both point (−4, −1) and (2, 6) point are reflected across the y-axis. What are the coordinates of the reflected points? (4 points)
Group of answer choices
(4, 1) and (−2, −6) a
(−4, 1) and (−2, 6) b
(−4, 1) and (2, −6) c
(4, −1) and (−2, 6) d

Answer 1

When a point is reflected about y-axis, the y-coordinate remains remain while, x-coordinate's sign changes .

That is, the rule of reflection of a point about y-axis is,

$(x,y)\rightarrow (-x,y)$

Thus, about y-axis,

$(-4,-1)\rightarrow (4,-1)$

And,

$(2,6)\rightarrow (-2,6)$

Therefore, the coordinates of the reflected points are (4, −1) and (−2, 6).

That is, option 'd' is correct.