Answer :
The function graphed is y = -|x + 5| + 4
To find the function graphed we write the absolute value function using the general formula
y = a|x - h| + k
Where h and k are the coordinates of the vertex
y = a|x - (-5)| + 4
y = a|x + 5| + 4
Solving for a using point (0, -1)
-1 = a|0 + 5| + 4
-1 - 4 = 5a
a = -1
