Algebra-1

1.Lowest Point (Vertex): The lowest point (vertex) of the graph is at (0, -3).

2.Symmetry: The function is symmetric about the y-axis.

3.Opening Direction: The graph opens upward.

Let’s analyze the options:

g(x) = |x - 3|:

This function is symmetric about ( x = 3 ) and opens upward, so it does not match the y-axis symmetry.

g(x) = -|x| + 3:

This function is symmetric about the y-axis and opens downward. Its vertex is at (0, 3), not (0, -3), so it does not match.

&n...