Question

select the correct answer. what is the zero of the function represented by this graph? graph of a function on a coordinate plane with options a. x = -5, b. x = -6, c. x = 6, d. x = 5

Explanation:

Step1: Recall the definition of a zero of a function

The zero of a function is the \( x \)-value where the function's graph intersects the \( x \)-axis (i.e., where \( y = 0 \)).

Step2: Analyze the graph

Looking at the given graph, we observe the point where the graph touches or crosses the \( x \)-axis. The graph starts at \( x=-6 \) (since it has a vertex or starting point at \( x = - 6 \) on the \( x \)-axis, as the \( y \)-coordinate at \( x=-6 \) is \( 0 \)).

Answer:

B. \( x = -6 \)