Maxima and minima ques
So my sir directly drawed its graph and solved it. How do I do the same like whats the way to draw its graph ? Using transformation ?

11 Replies
@Apu
Note for OP
+solved @user1 @user2...
to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.For the first part draw the graph of |x| and shift it by 2 units right and a^2-9a-9 units upward.
(Using graphical transformation)
i mean we don't know
a
how will we draw the graph
we can just say it shifts up or down by whatever a^2 - 9a - 9
is
this confuses me
the slope of both the lines is different
|x-2| + ... and 2x-3
it is non differentiable at x=2
how are we defining minimaThere must be a minima at x=2 when f(x)=1, now the at x=2 the |x-2| thing becomes zero hence all we need is a^2-9a-9 to be greater than 1.
Or (a-10)(a+1)>0
Hence the range.
Minima meaning in the neighbourhood of 2, the functional values are higher than 2.
higher, right?
Ye, sorry
ahh ye
got it now
thank u
Np 🫡
+solved @SirLancelotDuLac @Nimboi [ping if answering]
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