Answer: first option: y-axis, x-axis, y-axis, x-axis.
Justification:
The first set of reflections is like taking a ride around the block, so all the points end at the same initial point, and the final image is identical to the original image.
When you cannot figure out the result from the words in the statement, translate using math language.
Do the four reflections:
1) Reflecting a generical point, say (a,b), over the y-axis yields to keep the y coordinate and to the negative of the x-coordinate; this is, yields to coordinates (-a,b).
This is: (a,b) → (-a,b)
2) Reflecting over the x-axys yields the point (-a,b) to (-a,-b)
This is: (-a,b)→(-a,-b).
3) New reflection over the y -axis:
(-a,-b) → (-(-a), -b ) = (a, -b)
4) New reflection over the x-axis:
(a, -b) → (a, - (-b) ) = (a, b).
So, you have proved that the ending point is the same initial point. Proving tha the answer is the first set of reflections given in the list of choices.
Go to when y=7 and then find what point hits it. you'll find (-10, 7) hits that point. If you're not sure where x is, follow the point down the line until you reach the x axis to see where it lands
