Question

f(x)=7/8|X+3|-9
Graph and tell what the following are:
Does it open up or down
Wider,narroweer,or same
vertex?

Answer 1

Which one are you having trouble with?

Answer 2

the vertex?

Answer 3

Remember when you have f(x)=a|x-h|+k, the vertex is (h,k)

Answer 4

i know but i am still having trouble

Answer 5

do you know what k is?

Answer 6

no nither H

Answer 7

f(x)=a|x-h|+k
f(x)=a|x+3|-9
What if i place them like this? Note that a=7/8 on the second one. Removed so they line up better

Answer 8

okay so H is -9 right?

Answer 9

and k is 7/8

Answer 10

Look again and see which one goes with the h and which one goes with the k. They are lined up on top of each other

Answer 11

oh h is 3 and k is -9

Answer 12

Be careful with the h. Notice the sign change.
You can solve it by equating whats inside the abs
So, x-h=x+3.

Answer 13

so its -3 and -9 and it's narrower and opens up?

Answer 14

It opens up but its not narrower. See |a|<1 where a=(7/8).
So it's wider

Answer 15

oh okay. is my vertex right -3,-9

Answer 16

Yeah

Answer 17

okay thank you.

Answer 18

Np