Transformations of Functions (A1) The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?

A: y=−f(x+1)

B: y=−f(x−1)

C: y=−f(x)+1

D: y=−f(x)−1

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.