Decreasing increasing funtion

Hello everyone,
Can you please show me how to 'determine weather this funtion -3[(x-3)^2-9] is increasing or decreasing on the the domain [0,6]
Thanks in advance .
 
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Hello everyone,
Can you please show me how to 'determine weather this funtion -3[(x-3)^2-9] is increasing or decreasing on the the domain [0,6]
Thanks in advance .
Do a rough plot and look.

Take the derivative and see is it positve or negative.
 

HallsofIvy

Science Advisor
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y= -3x^2+ 9 is a parabola with vertex at (0, 9), opening downward. It is increasing for x< 0 and decreasing for x> 0. Do you see how that answers your question?
 

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