Question

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

Answer 1

You know how translating functions works right?

Answer 2

no.

Answer 3

xavier can you help me please

Answer 4

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)

Answer 5

now at (h,k)

Answer 6

so the vertex is 0,0

Answer 7

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)

Answer 8

okay does it open up or down and is it narrow or wider

Answer 9

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.

Answer 10

so its narrower :)

Answer 11

Right?

Answer 12

Yeah. How about the way it opens?

Answer 13

it opens up?

Answer 14

Yup. :)

Answer 15

can you do another one for me ?

Answer 16

Sure but lets see how far you can get first before I help. Look over how we did this one

Answer 17

f(x)=7|x-3|-4

Answer 18

okay so i think it open up

Answer 19

and the x=3 but i can tfind the second number

Answer 20

f(x)=a|x-h|+k. Remember vertex is at (h,k)

Answer 21

yes and h=3 right?

Answer 22

Yeah

Answer 23

but i cant find k i think its 1 but idk

Answer 24

You have
f(x)=7|x-3|-4
f(x)=a|x-h|+k

Look at the placement of the letters.

Answer 25

-4 is k?

Answer 26

Yeah.

Answer 27

okay so the vertex is 3,-4

Answer 28

and it opens up and its narrower

Answer 29

Yup you got it

Answer 30

everything is right?

Answer 31

Yeah

Answer 32

yesss thank you so much :)

Answer 33

Np