### Instruction: The graph of the equation $y = |x| - 3$ is translated two units to the left and three units down. What are the coordinates of the minimum point of the new graph?### Response: So we are given the graph of $y = |x| - 3$.
And we know that the minimum point of this graph is at $(0,-3)$.
That's right. Now we just need to translate the point two units to the left and three units down.
That gives us the point $(-2,-6)$.