Translate ƒ(x) = |x| so that it's translated down by 2 units and to the left 6 units. What's the new function g(x)? A) g(x) = |x – 6| + 2
B) g(x) = |x – 6| – 2
C) g(x) = |x + 6| + 2
D) g(x) = |x + 6| – 2

  D)  g(x) = |x +6| -2

Step-by-step explanation:

To translate f(x) h units to the right and k units up, you use the transformation ...

  g(x) = f(x -h) +k

You want to translate your function 6 units left and 2 units down, so (h, k) = (-6, -2) and the transformed function is ...

  g(x) = |x +6| -2

yes

yes yes yes

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!