Reflecting the graph of y=cos x over the x-axis and the y-axis is the same true or false please explain why!!!!

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Reflecting the graph of y=cos x over the x-axis and the y-axis is the same true or false please explain why!!!!

Mathematics
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a sketch of the graph will be helpful here|dw:1443658778182:dw|
reflecting over the y-axis gives us:|dw:1443658820875:dw|
I am asuming that it is true because if you cut the graph in half and flipped it over the y axis it will match up and if you did the same thing over the x axis it would be the same just on the other side

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nope, not true
wait so its not the same then because when you reflect over the y axis it moves over
notice what happens when you reflect over the x-axis
|dw:1443658919749:dw|
No they are not
so either way is going to be different, Reflecting y=cos x over the x axis is different and the y axis reflection is also different in comparison to the origional graph.
almost, notice what happens when you reflect over the y-axis
|dw:1443659241846:dw|
(since cos(x) is symmetric about the y-axis, reflecting over the y-axis does nothing while reflecting over the x-axis changes the graph)
okay got it

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