Question

Select all that apply. A point located at (1, 6) undergoes a transformation. Its image is at (1, -6). What was the transformation? The point was reflected over the y-axis. The point was translated down 12 units. The point was reflected over the x-axis. The point was translated up 12 units.

Answer 1

the point was reflected over the x- axis

note that for reflection in the x- axis

a point (x, y ) → (x, - y )

the x-coordinate remains unchanged while the y- coordinate of the image is the negative of the original y- coordinate

Answer 2

Option B and C are correct.

Explanation:

It is given that A point located at (1, 6) undergoes a transformation. Its image is at (1, -6).

`P(1,6)\rightarrow P'(1,-6)`

If the point was reflected over the y-axis, then

`P(x,y)\rightarrow P'(-x,y)`

`P(1,6)\rightarrow P'(-1,6)\\eq P'(1,-6)`

If the point was translated down 12 units, then

`P(x,y)\rightarrow P'(x,y-12)`

`P(1,6)\rightarrow P'(1,6-12)=P'(1,-6)`

If he point was reflected over the x-axis, then

`P(x,y)\rightarrow P'(x,-y)`

`P(1,6)\rightarrow P'(1,-6)`

If he point was translated up 12 units, then

`P(x,y)\rightarrow P'(x,y-+12)`

`P(1,6)\rightarrow P'(1,6+12)=P'(1,18)\\eq P'(1,-6)`

Hence, the correct options are B and C.