Is -3[(x-3)^2-9] Increasing or Decreasing on Domain [0,6]?

The mentalist · Aug 6, 2013

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 .

phinds · Aug 6, 2013

The mentalist said:

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 · Aug 6, 2013

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?

Is -3[(x-3)^2-9] Increasing or Decreasing on Domain [0,6]?

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