What is the vertex of the graph of f(x) = |x + 5| – 6? (–6, –5) (–6, 5) (–5, –6) (5, –6)

This graph is absolute value graph where the value of |x + 5| would be always positive. In this graph, the vertex would be when the absolute value =0 since it was the lowest part of the graph. Then the vertex Y-coordinate would be:

f(x) = |x + 5| – 6
y = 0-6= -6

f(x) = |x + 5| – 6
-6  = |x + 5| – 6
|x + 5| =0
x= -5

The coordinate would be: (-5. -6)