Answer:
y = |x - 5| + 2
Explanation:
f(x) + n - shift up n units
f(x) - n - shift down n units
f(x + n) - shift left n units
f(x - n) - shift right n units
f(-x) - reflect about the y-axis
-f(x) - reflect about the x-axis
The graph of the function y = |x| has a vertex in the origin (0, 0).
The vertex of the given graph is in the point (5, 2) - incorrectly marked coordinates on the graph (2, 5).
Conclusion:
The graph of the function y = |x| has been shifted 5 units to the right and 2 units up.
Therefore:
y = |x - 5| + 2