Determine the derivative, all the critical numbers and the intervals of increase and decrease y=-5x²+20x+2

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Determine the derivative, all the critical numbers and the intervals of increase and decrease y=-5x²+20x+2

Mathematics
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\[\huge y'=-10x+20\] \[\huge 0=-10x+20\] \[x=2\]
i get : intervals of increase x<2 intervals of decrease x>2 but the answer key says the opposite
when \[y \prime >0, \] then increasing.

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Other answers:

what's in intervals of increase / decrease tho?
I got the same answer as you @burhan101 intervals of increase x<2 intervals of decrease x>2
x>2 it decreases x<2 it increases.
Right...I as well @koymoi ...I think maybe your answer key is wrong @burhan101
think the answer key's wrong then ?
yes
yeah, i thought it was a fairly straight forward question
graph it and ull know for sure
|dw:1371791477746:dw|
1 Attachment
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oh oops that shud be + when i multiplied by -5
|dw:1371791697708:dw|
+22
|dw:1371791721412:dw|
@burhan101 u don't need calculus to find intervals of increase/decrease. This is a parabola with a negative leading coefficient so it opens down. Using -b/2a we get -b/2a = 2, which is the x-coordinate of the vertex of the parabola. Since it opens down, function is increasing on \(\bf (-\infty,2)\) and decreasing on \(\bf (2,\infty)\)

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