Algebra-1

Given the characteristics of the red graph:

1.Vertex Location: The highest point (vertex) of the graph is at (0, 5).

2.Symmetry: The function is symmetric about the y-axis, which means it’s in the form of ( -|x| ) or similar.

3.Opening Direction: The graph opens downward.

Let’s analyze the provided options:

g(x) = |x + 5|:

This function is symmetric about ( x = -5 ) and opens upward, which does not match the given graph.

g(x) = -|x| + 5:

This function is symmetric about the y-axis, and its vertex is at (0, 5)....