Answer: (2,-7)
Step-by-step explanation:
We know that ,
The general form of absolute value function : [tex]a|x-h|+k[/tex]
, where (h,k) is representing the vertex.
The given absolute value function: [tex]f(x)=|x-2|-7[/tex]
which can be written as [tex]f(x)=|x-2|+(-7)[/tex]
When we compare the given absolute function to its general form , then we get
h=2 , k= -7
⇒ The vertex of the function is : (2,-7)
Hence, the correct answer is (2,-7) .
