Answer:
y = | x + 4 | + 5
Explanation:
This is a graph of the absolute value function
the equation of an absolute value function is
y = a | x - h | + k
(h, k ) are the coordinates of the vertex ( turning point )and a is the slope of the right side of the graph.
here vertex is at (- 4, 5 ) and a = 1
equation is then
y = | x - (- 4) | + 5 , that is
y = | x + 4 | + 5