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)
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OpenStudy (iwanttogotostanford):
@sleepyhead314 @wolf1728
OpenStudy (sleepyhead314):
the coefficient of x would have to be negative in order for the function to open downward
OpenStudy (wolf1728):
Figured I'd come here but sleepyhead seems to be ding quite well
OpenStudy (sleepyhead314):
since "k" is a negative number
I would assume that they would like for us to multiply "x" with "k" somehow
OpenStudy (iwanttogotostanford):
i was thinking it'd be B or D?
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OpenStudy (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
OpenStudy (iwanttogotostanford):
i don't know what it would be...
OpenStudy (iwanttogotostanford):
@sleepyhead314
OpenStudy (sleepyhead314):
since it cannot be D
then your other guess may be correct ;)
OpenStudy (wolf1728):
would it be k(fx)
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OpenStudy (sleepyhead314):
yes ^
OpenStudy (sleepyhead314):
although the formatting is a bit confusing .-.
OpenStudy (wolf1728):
k = -1 f(x) = x^2 then
k(fx) = -x^2
OpenStudy (iwanttogotostanford):
so it would be B??:-)
OpenStudy (wolf1728):
I think it is B
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OpenStudy (sleepyhead314):
mhmmm
OpenStudy (wolf1728):
yes as sleepyhead said the formatting is weird
OpenStudy (iwanttogotostanford):
thank you both! I will have one more question up and then done!