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anonymous

  • one year ago

What is the range of the graph of y = -3(x - 4)2 + 1? y>=3 y<=3 y>=1 y<=1

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  1. welshfella
    • one year ago
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    HinT: what is the lowest possibly value of (x - 4) ^2 ?

  2. welshfella
    • one year ago
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    - remember that a square of a real number cannt be negative

  3. anonymous
    • one year ago
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    uhm...i have no clue...4?

  4. welshfella
    • one year ago
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    plug in x = 4

  5. anonymous
    • one year ago
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    it would be y=1

  6. welshfella
    • one year ago
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    when x = 4 y = 1 yes

  7. welshfella
    • one year ago
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    because (x - 4)^2 would be 0

  8. welshfella
    • one year ago
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    the lowest possible value of (x - 4)^2 is 0

  9. anonymous
    • one year ago
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    so y>=1 ?

  10. welshfella
    • one year ago
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    No because we have a negative coefficient -3

  11. anonymous
    • one year ago
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    okay this makes no sense what so ever.

  12. anonymous
    • one year ago
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    y<=1 ? because if you plug in 5 for x you get a negative number for y

  13. welshfella
    • one year ago
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    yes - thats was i was going to say and if you plug in x = 3 you get a negative value for y also the (x -4)2) is always going to be positive so -3(x -4^2 is always negative

  14. welshfella
    • one year ago
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    so its y <= 1

  15. anonymous
    • one year ago
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    thank you so much :)

  16. welshfella
    • one year ago
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    yw

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