Algebra-1

To find the equation that best matches the graph described, let's break down the details:

Highest Point (Vertex): The highest point of the graph is at (7, 0).

Symmetry: The function is symmetric about x = 7.

Opening Direction: The graph opens downward, which means the absolute value function has a negative coefficient.

Given these characteristics, the function should be of the form f(x) = −∣x − h∣+ k where (h, k) is the vertex.

Analyzing the Options:

f(x) =∣x∣+ 7:

This function has a vertex at (0, 7) and opens upward, so it does not match the description.

f(...