Question

What is the vertex of the graph of g(x) = |x - 9| - 3?

Answer 1

is it (9,-3)...
y=g(x) = |x - 9| - 3
or y= |x - 9| - 3
or y+3== |x - 9|
let x-9=X
and y+3=Y
thus the graph reduces to Y=|X| whose vertex is (0,0) (wrt (X,Y))
thus putting x-9=0 and y+3=0
gives the reqd vertex as (9,-3)