What is the vertex of the absolute value function defined by ƒ(x) = |x - 2| - 7?

Step-by-step explanation:

We can get the vertx by graphing or by analysing the function.

Let's analyse.

The parent function of the given one is

And the given one is

Specifically, the given function is a transformed function moved 2 units rightwards and 7 downwards.

We know that the parent function has vertex at , but with these decribed transformation, the function has vertex at .

You can see this in the image attached, which shows the given function and its vertex.

Therefore, the vertex is at

2y+y=5

add 2y and y