anonymous
  • anonymous
Tell weather the graph opens up or down Identify the vertx tell if the graph is wider or narrower or the same as the graph of Y =|X| f(x)=2| x+2| +8
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
You know how translating functions works right?
anonymous
  • anonymous
no.
anonymous
  • anonymous
xavier can you help me please

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anonymous
  • anonymous
Well what you add to the x is how many units the function is moves to the left. What you add outside is how many units up. So f(x)=2|x-h|+k has been moves h to the right and k up. Since the vertex was originally at (0,0) its not at (h,k)
anonymous
  • anonymous
now at (h,k)
anonymous
  • anonymous
so the vertex is 0,0
anonymous
  • anonymous
Its originally (0,0) on the graph y=|x| but since you did that stuff to it, it moved to (h,k) where f(x)=2|x-h|+k. In this case h=-2 and k=8 so the vertex is at (-2,8)
anonymous
  • anonymous
okay does it open up or down and is it narrow or wider
anonymous
  • anonymous
If the number in front of the absolute value is positive, then it opens up. If negative it opens down. If the absolute value of that number is greater than 1, then its narrower. If the absolute value is less than 1, then its wider.
anonymous
  • anonymous
so its narrower :)
anonymous
  • anonymous
Right?
anonymous
  • anonymous
Yeah. How about the way it opens?
anonymous
  • anonymous
it opens up?
anonymous
  • anonymous
Yup. :)
anonymous
  • anonymous
can you do another one for me ?
anonymous
  • anonymous
Sure but lets see how far you can get first before I help. Look over how we did this one
anonymous
  • anonymous
f(x)=7|x-3|-4
anonymous
  • anonymous
okay so i think it open up
anonymous
  • anonymous
and the x=3 but i can tfind the second number
anonymous
  • anonymous
f(x)=a|x-h|+k. Remember vertex is at (h,k)
anonymous
  • anonymous
yes and h=3 right?
anonymous
  • anonymous
Yeah
anonymous
  • anonymous
but i cant find k i think its 1 but idk
anonymous
  • anonymous
You have f(x)=7|x-3|-4 f(x)=a|x-h|+k Look at the placement of the letters.
anonymous
  • anonymous
-4 is k?
anonymous
  • anonymous
Yeah.
anonymous
  • anonymous
okay so the vertex is 3,-4
anonymous
  • anonymous
and it opens up and its narrower
anonymous
  • anonymous
Yup you got it
anonymous
  • anonymous
everything is right?
anonymous
  • anonymous
Yeah
anonymous
  • anonymous
yesss thank you so much :)
anonymous
  • anonymous
Np

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