The given function representing the table and graph is:

$y = -2|x - 6| + 0$

This is in the form $y = a|x - h| + k$, where:

• $a = -2$ controls the vertical stretch and reflection,
• $h = 6$ shifts the graph horizontally to the right,
• $k = 0$ shifts the graph vertically, but since it’s 0, there is no vertical shift.

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

1. How does changing the value of $a$ affect the shape of the graph?
2. What would happen if $h$ were negative in the function?
3. Can you identify the vertex of the absolute value graph from the function?
4. How would adding a non-zero $k$ value shift the graph vertically?
5. How does the absolute value function differ from a quadratic function?

Tip: The vertex of an absolute value function in the form $y = a|x - h| + k$ is always located at $(h, k)$.