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anonymous

  • one year ago

Using the completing-the-square method, find the vertex of the function f(x) = –2x^2 + 12x + 5 and indicate whether it is a minimum or a maximum and at what point

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  1. campbell_st
    • one year ago
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    group the x terms together f(x) = (-2x^2 +12x)+ 5 now remove the common factor of -2 \[f(x) = -2(x^2 - 6x) + 5\] what is needed inside the brackets to complete the square

  2. campbell_st
    • one year ago
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    the vertex is a maximum since the coefficient of the leading term is -2

  3. anonymous
    • one year ago
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    Maximum at (-3,5) Minimum at (-3,5) Maximum at (3,23) Minimum at (3,23) those are my options btw

  4. anonymous
    • one year ago
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    @ganeshie8 @Michele_Laino

  5. anonymous
    • one year ago
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    @Crissy15

  6. campbell_st
    • one year ago
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    so what do you need to add inside the brackets to get a perfect square..?

  7. anonymous
    • one year ago
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    @mathway @mathgenious

  8. anonymous
    • one year ago
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    i really have no idea what im doing @campbell_st

  9. anonymous
    • one year ago
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    Or you can do this. |dw:1438893714666:dw|

  10. anonymous
    • one year ago
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    Can you solve it?

  11. anonymous
    • one year ago
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    Do it and I'll tell you if you got it right. And if you won't, then I'm not the right person to ask for help. (:

  12. campbell_st
    • one year ago
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    @mathway, whilst your method is valid, it doesn't address the question of using complete the square. I would have solved this question is the way you suggested... But I think the question is asking for specific skills.

  13. anonymous
    • one year ago
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    @campbell_st I agree that the question asked him to specifically solve it by completing the square; I just thought that it would be easier for him to do what I said. Nevertheless, he didn't respond to what we told him to do to solve it.

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