Answer: d) f(x) = | x - 2 | + 1
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!