Question

Which of the following sets of points are reflections of each other across the y-axis?
Answers:
(-5, 6) → (5, -6)
(-5, 6) → (6, -5)
(-5, 6) → (5, 6)
(-5, 6) → (-5, -6)

Answer 1

Points are reflected across the x-axis when they have opposite x coordinates, but the same y coordinates. (x, y) → (-x, y)
soo... idk..

Answer 2

Plotting the point -5, 6 on a graph and reflecting over the y axis gives

Answer 3

so its (-5, 6) → (5, 6)
? because it reflects

Answer 4

Note that when you reflect across x-axis, the y-coordinate changes the same but the x-coordinate remains the same, i.e. (x, y) after reflection across x-axis becomes (x, -y). Similarly, when you reflect across the y-axis, the y-coordinate remains the same but the x-coordinate becomes negative, i.e. (x,y) after reflection across y-axis becomes (-x, y).

@glitterythings

Answer 5

So basically, in x-axis reflection, y becomes negative x remains same and in y-axis reflection, x becomes negative y remains same.

Answer 6

hmm...

Answer 7

For which of those coordinates does the y-coordinate remain the same but the x-coordinate gets multiplied by -1? @glitterythings

Answer 8

idk tbh.. 6 remains the same.

Answer 9

6 remains the same for only one of the choices. That is your right answer. Which is it? @glitterythings

Answer 10

the third choice? @genius12

Answer 11

Correct. The third choice is the right y-axis reflection because the y-coordinate stays the same while the x-coordinate gets multiplied by -1. Good job.

Answer 12

thank you so much. !