SOLUTION: Suppose that the function y=f(x) is decreasing on the interval (-2,7). Over what interval is the graph of y=f(x+2) decreasing? Explain step by step

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Question 1139699: Suppose that the function y=f(x) is decreasing on the interval (-2,7). Over what interval is the graph of y=f(x+2) decreasing? Explain step by step
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.

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 THIS : 

    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.

If you know and understand it, you can easily solve any problem of this kind.



Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
if the function is decreasing on the interval (,)
over what interval is the graph of
find value of such that








so, decreasing over the interval (, )


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