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 .

the answer is c 150

step-by-step explanation:

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.