The problem asks us to draw the graph of $g(x) = f(x) - 4$ in the first coordinate grid and $g(x) = f(x - 1)$ in the second coordinate grid, given the graph of $f(x)$ in red in both grids.

1. Problem Description

The problem asks us to draw the graph of $g(x) = f(x) - 4$ in the first coordinate grid and $g(x) = f(x - 1)$ in the second coordinate grid, given the graph of $f(x)$ in red in both grids.

2. Solution Steps

For the first coordinate grid, we need to graph $g(x) = f(x) - 4$. This transformation represents a vertical shift of the graph of $f(x)$ downwards by 4 units.

Let's identify three key points on the graph of $f(x)$:

Point 1: $(-4, 0)$. Then for $g(x)$, the corresponding point is $(-4, 0-4) = (-4, -4)$.

Point 2: $(-1, 2)$. Then for $g(x)$, the corresponding point is $(-1, 2-4) = (-1, -2)$.

Point 3: $(4, -1)$. Then for $g(x)$, the corresponding point is $(4, -1-4) = (4, -5)$.

For the second coordinate grid, we need to graph $g(x) = f(x - 1)$. This transformation represents a horizontal shift of the graph of $f(x)$ to the right by 1 unit.

Let's identify three key points on the graph of $f(x)$:

Point 1: $(-4, 0)$. Then for $g(x)$, the corresponding point is $(-4+1, 0) = (-3, 0)$.

Point 2: $(-1, 2)$. Then for $g(x)$, the corresponding point is $(-1+1, 2) = (0, 2)$.

Point 3: $(4, -1)$. Then for $g(x)$, the corresponding point is $(4+1, -1) = (5, -1)$.

3. Final Answer

For the first grid, plot the points $(-4, -4)$, $(-1, -2)$, and $(4, -5)$.

For the second grid, plot the points $(-3, 0)$, $(0, 2)$, and $(5, -1)$.