Given the function, ƒ(x) = |x - 1| - 2, choose the correct transformation.
parent function : g(x) = |x|
Horizontal Shift: Right 1 units
vertical shift: down 2 units
Reflection about the x-axis: none
Vertical Compression or Stretch: none
Answer:
The transformation applied is 'Translation of 1 unit to the right and 2 units downwards'.
Step-by-step explanation:
We know that,
The parent function is \(g(x)=|x|\).
Now, g(x) is transformed to the function \(f(x)=|x-1|-2\).
That is, we see that,
g(x) is translated 1 unit to the right, which gives \(|x-1|\) and then it is translated 2 unit downwards, which gives f(x).
So, we get,
The transformation applied is 'Translation of 1 unit to the right and 2 units downwards'.