iwanttogotostanford
  • iwanttogotostanford
Given the function f(x) = x^2 and k = –1, which of the following represents a function opening downward? f(x) + k kf(x) f(x + k) f(kx)
Mathematics
schrodinger
  • schrodinger
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iwanttogotostanford
  • iwanttogotostanford
sleepyhead314
  • sleepyhead314
the coefficient of x would have to be negative in order for the function to open downward
wolf1728
  • wolf1728
Figured I'd come here but sleepyhead seems to be ding quite well

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sleepyhead314
  • sleepyhead314
since "k" is a negative number I would assume that they would like for us to multiply "x" with "k" somehow
iwanttogotostanford
  • iwanttogotostanford
i was thinking it'd be B or D?
sleepyhead314
  • sleepyhead314
D means that you would replace "kx" into the equation for "x" that would get you f(kx) = (-1x)^2 ^^ since this is squared, it would come out as a Positive so that cannot be right
iwanttogotostanford
  • iwanttogotostanford
i don't know what it would be...
iwanttogotostanford
  • iwanttogotostanford
sleepyhead314
  • sleepyhead314
since it cannot be D then your other guess may be correct ;)
wolf1728
  • wolf1728
would it be k(fx)
sleepyhead314
  • sleepyhead314
yes ^
sleepyhead314
  • sleepyhead314
although the formatting is a bit confusing .-.
wolf1728
  • wolf1728
k = -1 f(x) = x^2 then k(fx) = -x^2
iwanttogotostanford
  • iwanttogotostanford
so it would be B??:-)
wolf1728
  • wolf1728
I think it is B
sleepyhead314
  • sleepyhead314
mhmmm
wolf1728
  • wolf1728
yes as sleepyhead said the formatting is weird
iwanttogotostanford
  • iwanttogotostanford
thank you both! I will have one more question up and then done!
wolf1728
  • wolf1728
Okay, I'll stay here

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