Question

1 Select the correct answer. Each statement describes a transformation of the graph of . Which statement correctly describes the graph of y = f(x − 7) + 3? A. It is the graph of f translated 3 units up and 7 units to the left. B. It is the graph of f translated 7 units down and 3 units to the right. C. It is the graph of f translated 7 units up and 3 units to the right. D. It is the graph of f translated 3 units up and 7 units to the right.

Answer 1

Using translation concepts, it is found that the correct option is:

D. It is the graph of translated 3 units up and 7 units to the right.

The parent function is:

`f(x)=y=1nx`

Shifting a function a units to the right is equivalent to finding f(x - a), thus:

`f(x-7)=1n(x-7)`

Shifting a function a units up is equivalent to finding f(x) + a, thus:

`f(x-7)+3=1n(x-7)+3`

Which means that the function was shifted 7 units to the right and 3 up, thus, option D is correct.