Question

Suppose that Gx=f(x+11). Which statement correctly describes the graph? please hurry!

Answer 1

Given:

$g(x)=f(x+11)$

To find:

The correct statement for the given transformation.

Solution:

The translation is defined as

$g(x)=f(x+a)+b$                .... (1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

We have,

$g(x)=f(x+11)$            ... (2)

On comparing (1) and (2), we get

$a=11>0$

So, the graph of f(x) translated 11 units to the left.

Therefore, the correct option is A.