The triangle below is reflected over the line x = 4. Which transformation(s) would produce the same image?
2676$10
A Reflecting over the x-axis and then translating to the right 4 units
B. Reflecting over the y-axis and then translating to the right 4 units
C Reflecting over the y-axis and then translating to the right 8 units
D Reflecting over the x-axis and then translating to the right 8 units

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  C.  Reflecting over the y-axis and then translating to the right 8 units

Step-by-step explanation:

Reflection over the line x=4 gives you the transformation ...

  (x, y) ⇒ (2·4 -x, y) = (-x +8, y)

This is precisely the same transformation you get by reflection over the y-axis:

  (x, y) ⇒ (-x, y)

followed by translation to the right 8 units:

  (-x, y) ⇒ (-x +8, y)

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Reflection over x=4 is the same as reflection over y and translation right 8.

question:

could we have options?

i can't see the picture : /