Explanation:
We want to get the vertex of the graph of f(x) = |x + 5| - 6.
The vertex is (-5, -6)
The vertex of an absolute value function:
f(x) = |x - a| + c
Is at the value of x such that the argument of the absolute value part, x - a, is equal to zero.
So in our case:
f(x) = |x + 5| - 6
First, we must solve x + 5 = 0
x = -5
Now to get the y-value of the vertex, we just evaluate the function in x = -5
f(5) = |-5 + 5| - 6 = -6
Then the vertex is at (-5, -6)