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iwanttogotostanford

  • one year ago

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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  1. iwanttogotostanford
    • one year ago
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    @sleepyhead314 @wolf1728

  2. sleepyhead314
    • one year ago
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    the coefficient of x would have to be negative in order for the function to open downward

  3. wolf1728
    • one year ago
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    Figured I'd come here but sleepyhead seems to be ding quite well

  4. sleepyhead314
    • one year ago
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    since "k" is a negative number I would assume that they would like for us to multiply "x" with "k" somehow

  5. iwanttogotostanford
    • one year ago
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    i was thinking it'd be B or D?

  6. sleepyhead314
    • one year ago
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    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

  7. iwanttogotostanford
    • one year ago
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    i don't know what it would be...

  8. iwanttogotostanford
    • one year ago
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    @sleepyhead314

  9. sleepyhead314
    • one year ago
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    since it cannot be D then your other guess may be correct ;)

  10. wolf1728
    • one year ago
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    would it be k(fx)

  11. sleepyhead314
    • one year ago
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    yes ^

  12. sleepyhead314
    • one year ago
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    although the formatting is a bit confusing .-.

  13. wolf1728
    • one year ago
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    k = -1 f(x) = x^2 then k(fx) = -x^2

  14. iwanttogotostanford
    • one year ago
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    so it would be B??:-)

  15. wolf1728
    • one year ago
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    I think it is B

  16. sleepyhead314
    • one year ago
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    mhmmm

  17. wolf1728
    • one year ago
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    yes as sleepyhead said the formatting is weird

  18. iwanttogotostanford
    • one year ago
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    thank you both! I will have one more question up and then done!

  19. wolf1728
    • one year ago
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    Okay, I'll stay here

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