Algebra-1

1.Lowest Point (Vertex): The lowest point (vertex) of the graph is at (-4, 0).

2.Symmetry: The function is symmetric about x = -4.

3.Opening Direction: The graph opens upward.

Let’s analyze the options:

g(x) = |x - 4|:

This function is symmetric about x = 4 and opens upward, so it does not match the symmetry about x = -4.

g(x) = -|x| + 4:

This function is symmetric about the y-axis and opens downward, so it does not match the symmetry or opening direction.