Answer:
[tex]\large \boxed{\sf \ \ g(x) = -2|x-1| - 3 \ \ }[/tex]
Step-by-step explanation:
Hello,
Again, we will follow the instructions...
Step 1
f(x) = |x|
g(x) = 2 |x| *** stretched vertically by a factor of 2 ***
Step 2
g(x) = - 2 |x| *** reflected over the x-axis ***
Step 3
g(x) = -2|x| - 3 *** shifted down 3 units ***
Step 4
g(x) = -2|x-1| - 3 *** shifted right 1 unit ***
And that's it !!
It is not so hard when doing step by step, right ?
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
