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

- anonymous

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

- schrodinger

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- jim_thompson5910

it's incorrect

- jim_thompson5910

hint: vertex of `y = a|x-h| + k` is `(h,k)`

- anonymous

@jim_thompson5910, does that mean that it would be (9,3)??

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## More answers

- jim_thompson5910

closer but no

- jim_thompson5910

compare `|x+9|` with `|x-h|`
try to get them to match up

- 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

|dw:1441945109736:dw|

- anonymous

I don't understand

- jim_thompson5910

|dw:1441945133297:dw|

- jim_thompson5910

|dw:1441945159391:dw|

- jim_thompson5910

the a and 1 match up, so a = 1
|dw:1441945188226:dw|

- jim_thompson5910

x+9 is the same as x - (-9)
|dw:1441945210699:dw|

- jim_thompson5910

so h and -9 match up
|dw:1441945235318:dw|

- jim_thompson5910

and finally, k = 3
|dw:1441945276083:dw|

- nincompoop

|dw:1441945095395:dw|

- anonymous

Where did the one come from??

- 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

think of it as
`x = 1*x`
since 1 times any number is that same number

- 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

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

you can click on the lowest point to have the coordinates show up

- anonymous

@jim_thompson5910 Thank you so much. You helped me understand it.

- jim_thompson5910

glad it makes sense now

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