Question

G(x)=f(x-1)-5

Describe the transformation to f(x) that results in g(x).

1

2

f(x) has been

translated to the left

one and down five.

f(x) has been

translated to the

right one and down

five.

f(x) has been

translated to the

right one and up five.

f(x) has been

translated to the left

one and up five.

Answer 1

f(x) has been translated to the right one and down five.

Explanation:

Given

`g(x)=f(x-1)-5`

Required

Determine the transformation

Taking the analysis one at a time

The relationship between f(x) and f(x - h) is that f(x) is translated h units to the right

So, when f(x) becomes f(x-1), it is as a result of f(x) being translated 1 unit to the right

The relationship between f(x) and f(x) - h is that f(x) is translated h units downwards

So, when f(x - 1) becomes f(x - 1) - 5, it is as a result of f(x - 1) being translated 5 units downwards.

Hence, option 2 answers the question