How does the graph of g(x) = 3x – 2 compare to the graph of f(x) = 3x? the graph of g(x) is a translation of f(x) 2 units left. the graph of g(x) is a translation of f(x) 2 units right. the graph of g(x) is a translation of f(x) 2 units up. the graph of g(x) is a translation of f(x) 2 units down.

Step-by-step explanation:

The parent function is

The tranformed function is

If you compare both equation, you would notice that the functions has an additional characteristic, the term -2.

This terms means that the function is two units below the function .

Therefore, the right answer is the last choice: The graph of g(x) is a translation of f(x) 2 units down.

Remeber:

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.