What is the axis of axis of symmetry of this equation

y = -3| x + 4| + 3

1 answer

The equation is in the form y = a|bx + c| + d, where a = -3, b = 1, c = 4, and d = 3. The axis of symmetry of this equation is the vertical line passing through the vertex of the graph.

To find the vertex, we need to determine the x-coordinate of the vertex. The vertex occurs when bx + c = 0. In this case, 1x + 4 = 0, so x = -4.

Therefore, the axis of symmetry is the vertical line x = -4.