anonymous
  • anonymous
please check my answer asap? what is the vertex of g(x)=|x+9|+3? I ended up with (9,-3).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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jim_thompson5910
  • jim_thompson5910
it's incorrect
jim_thompson5910
  • jim_thompson5910
hint: vertex of `y = a|x-h| + k` is `(h,k)`
anonymous
  • anonymous
@jim_thompson5910, does that mean that it would be (9,3)??

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More answers

jim_thompson5910
  • jim_thompson5910
closer but no
jim_thompson5910
  • jim_thompson5910
compare `|x+9|` with `|x-h|` try to get them to match up
anonymous
  • anonymous
@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?
jim_thompson5910
  • jim_thompson5910
|dw:1441945109736:dw|
anonymous
  • anonymous
I don't understand
jim_thompson5910
  • jim_thompson5910
|dw:1441945133297:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1441945159391:dw|
jim_thompson5910
  • jim_thompson5910
the a and 1 match up, so a = 1 |dw:1441945188226:dw|
jim_thompson5910
  • jim_thompson5910
x+9 is the same as x - (-9) |dw:1441945210699:dw|
jim_thompson5910
  • jim_thompson5910
so h and -9 match up |dw:1441945235318:dw|
jim_thompson5910
  • jim_thompson5910
and finally, k = 3 |dw:1441945276083:dw|
nincompoop
  • nincompoop
|dw:1441945095395:dw|
anonymous
  • anonymous
Where did the one come from??
jim_thompson5910
  • jim_thompson5910
@hxj9314 all that I did was compare the general form `y = a|x-h|+k` with the specific equation `y = |x+9|+3`
jim_thompson5910
  • jim_thompson5910
think of it as `x = 1*x` since 1 times any number is that same number
anonymous
  • anonymous
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?
jim_thompson5910
  • jim_thompson5910
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
jim_thompson5910
  • jim_thompson5910
you can click on the lowest point to have the coordinates show up
anonymous
  • anonymous
@jim_thompson5910 Thank you so much. You helped me understand it.
jim_thompson5910
  • jim_thompson5910
glad it makes sense now

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