The graph of the function rule y = |4x| - 3 is a V-shaped graph where the vertex is at the point (0, -3). The graph consists of two line segments that intersect at the vertex. The left side of the graph is a downward-sloping line segment starting at (0, -3) and extending towards negative infinity. The right side of the graph is an upward-sloping line segment starting at (0, -3) and extending towards positive infinity.
