Given:
f(x) = |x + 4| - 9
The vertex of the function is written in the form: (h, k)
To find the x coordinate(h) of the vertex, equate x + 4 to zero and evaluate.
x + 4 = 0
x + 4 - 4 = 0 - 4
x = -4
Substitue x for -4 in the equation:
y = |-4 + 4| - 9
y = |(-4) + 4| - 9
y = |0| - 9
y = -9
Therefore, the vertex is:
(-4, -9)
The axis of symmetry is the x-coordinate of the vertex.
Therefore, the axis of symmetry is x = -4
ANSWER:
Vertex = (-4, -9)
Axis of symmetry: x = (-4)