Enter g(x) in terms of f(x) after performing the given transformation of the graph of f(x). Translate the graph of f(x) to the left 4 units.

Given:

The graph of f(x) translated to the left 4 units.

To find:

The g(x) in terms of f(x) after performing the given transformation of the graph of f(x).

Solution:

The translation is defined as

               .... (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.

Since graph of f(x) translated to the left 4 units, therefore, the value of a is 4 and value of b is 0.

Put a=4 and b=0 in (1).

Therefore, the required function is .

1e+27

step-by-step explanation:

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3