Chapter 2 - Functions, Equations, and Graphs - 2-7 Absolute Value Functions and Graphs - Lesson Check - Page 111: 2

vertex: $(-3, 9)$ Axis of symmetry: $x=-3$

RECALL: The function $y=a|x-h| + k$ has its vertex at $(h, k)$ and has the line $x=h$ as its graph's axis of symmetry. The given function can be written as: $$y=|-(x+3)|+9$$ Thus, it has $h=-3$ and $k=9$. Therefore, its vertex is $(-3, 9)$ and its graph's axis of symmetry is the line $x=-3$.