Answer:
[tex]g(x) = -|x+3|-1[/tex]
Step-by-step explanation:
1. horizontal reflection - reflection on x-axis: [tex]g(x) = - f(x)[/tex]
[tex]g(x) = -|x|[/tex]
2. shift left 3: [tex]g(x) = f(x+h)[/tex]
[tex]g(x) = -|x+3|[/tex]
3. shift down 1: [tex]g(x) = f(x) - k[/tex]
[tex]g(x) = -|x+3|-1[/tex]
