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Janu16

  • one year ago

For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range.

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  1. Janu16
    • one year ago
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    @phi

  2. anonymous
    • one year ago
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    |dw:1440367057573:dw| That's the equation, right?

  3. Janu16
    • one year ago
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    yes

  4. anonymous
    • one year ago
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    So simplify that. What's (x-1) squared?

  5. Janu16
    • one year ago
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    x^2-2x+1

  6. anonymous
    • one year ago
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    multiply that by 3 and what do you get

  7. Janu16
    • one year ago
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    3x^2-6x+3

  8. anonymous
    • one year ago
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    Oops, hold on. Sorry, you didn't have to do all that. For the vertex, since you have (x-1), plug in 1 for x in the original equation. What is your y value?

  9. Janu16
    • one year ago
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    2

  10. anonymous
    • one year ago
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    So your vertex would be (1,2).

  11. Janu16
    • one year ago
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    ya I know that but what is the range

  12. anonymous
    • one year ago
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    As for domain, are there any values that you can't plug in for x? As for the range, are there any values that you can't get for y?

  13. Janu16
    • one year ago
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    i have no idea :/

  14. anonymous
    • one year ago
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    Well, you can plug in just about everything for x, so the domain would be (-infinity, infinity). As for range, you can get a y value that is above 2, the y-value in your vertex. So it would be [2, infinity}

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