Find the image of a(4, -2) after it is reflected over the line y= 2, then reflected over the line x = 2. (-8,6) o (0.-2) o (0,6) (-8, -2)

(0,6)

Step-by-step explanation:

we have the point

A(4,-2)

step 1

Find the image after it is reflected over the line y= 2

The distance of the point A to the line y=2 is equal to 4 units

so

The rule of the reflection is equal to

(x,y) > (x,2+4)

A(4,-2) ---> A'(4,6)

step 2

Find the image after it is reflected over the line x= 2

The distance of the point A' to the line x=2 is equal to 2 units

so

The rule of the reflection is equal to

(x,y) > (2-2,y)

A'(4,6) ---> A''(0,6)