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anonymous

  • one year ago

please check my answer asap? what is the vertex of g(x)=|x+9|+3? I ended up with (9,-3).

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  1. jim_thompson5910
    • one year ago
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    it's incorrect

  2. jim_thompson5910
    • one year ago
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    hint: vertex of `y = a|x-h| + k` is `(h,k)`

  3. anonymous
    • one year ago
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    @jim_thompson5910, does that mean that it would be (9,3)??

  4. jim_thompson5910
    • one year ago
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    closer but no

  5. jim_thompson5910
    • one year ago
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    compare `|x+9|` with `|x-h|` try to get them to match up

  6. anonymous
    • one year ago
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    @jim_thompson5910 I think i understand, would it mean that it is (-3, 9)? Substituting -3 for x then adding -3 to 9 would equal 6, plus 3 would make it 9 again? Is that correct?

  7. jim_thompson5910
    • one year ago
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    |dw:1441945109736:dw|

  8. anonymous
    • one year ago
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    I don't understand

  9. jim_thompson5910
    • one year ago
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    |dw:1441945133297:dw|

  10. jim_thompson5910
    • one year ago
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    |dw:1441945159391:dw|

  11. jim_thompson5910
    • one year ago
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    the a and 1 match up, so a = 1 |dw:1441945188226:dw|

  12. jim_thompson5910
    • one year ago
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    x+9 is the same as x - (-9) |dw:1441945210699:dw|

  13. jim_thompson5910
    • one year ago
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    so h and -9 match up |dw:1441945235318:dw|

  14. jim_thompson5910
    • one year ago
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    and finally, k = 3 |dw:1441945276083:dw|

  15. nincompoop
    • one year ago
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    |dw:1441945095395:dw|

  16. anonymous
    • one year ago
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    Where did the one come from??

  17. jim_thompson5910
    • one year ago
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    @hxj9314 all that I did was compare the general form `y = a|x-h|+k` with the specific equation `y = |x+9|+3`

  18. jim_thompson5910
    • one year ago
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    think of it as `x = 1*x` since 1 times any number is that same number

  19. anonymous
    • one year ago
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    Hm. Thinking about it, if i plug in -9,3 to the equation it makes it y=|-9+9|+3, making the y add up to the coordinate since y=3?

  20. jim_thompson5910
    • one year ago
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    yeah if x = -9, then y = 3 so (-9,3) is the lowest point as you can see in the graph at the link https://www.desmos.com/calculator/1gelnvft97

  21. jim_thompson5910
    • one year ago
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    you can click on the lowest point to have the coordinates show up

  22. anonymous
    • one year ago
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    @jim_thompson5910 Thank you so much. You helped me understand it.

  23. jim_thompson5910
    • one year ago
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    glad it makes sense now

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