Question

which of the following is true about the values of the graph?
a the graph has a maximum of 4 when x = - 3
b the graph has a minimum of 4 when x = - 3
c the graph has a maximum of - 3 when x = 4
d the graph has a minimum of - 3 when x = 4

Explanation:

Step1: Identify the vertex of the graph

The graph is a V - shaped graph (absolute - value like). The highest point (vertex) of the graph is where the graph changes direction.

Step2: Determine the coordinates of the vertex

By observing the graph, the vertex is at the point $(-3,4)$. The $y$ - value of the vertex represents the maximum or minimum value of the function, and the $x$ - value is the corresponding $x$ value. Since the graph opens downwards, the vertex represents the maximum of the function. The maximum value of the function is $y = 4$ when $x=-3$.

Answer:

A. The graph has a maximum of 4 when $x = - 3$