The graph shows the translation, g(x), of the function f(x).
what integer represents the horizontal translation of f(x) to g(x)?

The integer 4 represents the horizontal translation of f(x) to g(x).

Step-by-step explanation:

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.

From the given figure it is clear that the graph of f(x) horizontally shifts 4 units to the left. So, the value of a is 4 and the value of b is 0.

The translation for given function as

Therefore, the integer 4 represents the horizontal translation of f(x) to g(x).

vwhat effect does the word head have on the meaning of this passage?

a. it demonstrates how intelligent he was.

b. it shows he was a favorite of the teachers.

c. it indicates he would be a good preacher.

d. it reveals how self-important he was.

how does the choice of the word head contribute to the passage’s tone?

a. it offers a sense of entitlement.

step-by-step explanation: