Explanation
[tex]y = a |x - h| + k[/tex]
The structure or equation is similar to a quadratic function.
The value of a determines the slope of graph.
Tthe value of h determines the horizontal shift of graph.
The value of k determines the vertical shift of the graph.
From the given equation,
[tex]f(x) = |x - 2| - 7[/tex]
We can say that the graph shifts to the right 2 units and shifts down 7 units. Hence the vertex would be at x = 2 and y = -7. It can be written in coordinate form as (2,-7).
Answer
[tex] \large{(2,-7)}[/tex]
