Question

If you reflect (–2, –8) across both axes, which quadrant will it be in? Justify your reasoning.

Answer 1

If (−2, −8) is reflected across both axes, it will be located at (2, 8), which is in Quadrant I. When a point is reflected across both axes, the signs of both the x- and y-coordinates change.

Explanation:

yes

Answer 2

1) Reflect point (-2,-8) across the x-axis. This reflection has a rule

(x,y)→(x,-y).

Thus,

(-2,-8)→(-2,8).

2) Reflect point (-2,8) across the y-axis. This reflection has a rule

(x,y)→(-x,y).

Then

(-2,8)→(2,8).

3) The image point (2,8) is placed in 1st quadrant.