Respuesta :

Answer:   d)  f(x) = | x - 2 | + 1

Step-by-step explanation:

Input the first coordinate (-2, 5) into each of the equations to see which makes a true statement.

f(x) = | x | + 1

5  = | -2 | + 1   →   5 = 2 + 1   →   5 = 3   FALSE

f(x) = | x - 2 |

5  = | -2 - 2 |    →   5 = | 4 |   →   5 = 4   FALSE

f(x) = | x - 2| - 1

5  = | -2 - 2 | - 1   →   5 = | 4 | - 1   →   5 = 3   FALSE

f(x) = | x - 2| + 1

5  = | -2 - 2 | + 1   →   5 = | 4 | + 1   →   5 = 5   TRUE!