Algebra-1

Symmetric about the y-axis: This indicates that the function is an absolute value function, f(x) = a∣x∣+ b.

Opens downward: The graph opens downward if the coefficient of ∣x∣ is negative.

Vertex at (0, -4): The vertex, or highest point, of the function is at (0, -4).

Let's analyze each option:

f(x) = −∣x∣+ 4:

This function has a vertex at (0, 4), not at (0, -4). Thus, this doesn't match the given vertex.

f(x) =∣x∣− 4: