Question

Given the function, ƒ(x) = |x - 1| - 2, choose the correct transformation.

Answer 1

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'.

Answer 2

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