Question 1139699
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The graph of the function y = f(x+2) is the graph of the parent function y = f(x) shifted 2 units to the left.


Therefore, if the graph of y = f(x) is decreasing on the interval (-2,7),

then we can state that the graph y = f(x+2) is decreasing on the interval (-4,5).


It is that step by step explanation you requested for.
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The major fact you should learn and memorize from my post is <U>THIS</U> :


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    The graph of the function y = f(x+2) is the graph of the parent function y = f(x) shifted 2 units to the left.
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If you know and understand it, you can easily solve any problem of this kind.