Question

which statement describes the relationship between x and y? as x increases, y decreases. as x increases, y increases. as x increases, y increases and then decreases. as x increases, y decreases and then increases.

Explanation:

Step1: Analyze left - hand side of graph

As \(x\) increases from negative values towards the vertex (the lowest point of the V - shaped graph), \(y\) decreases.

Step2: Analyze right - hand side of graph

As \(x\) continues to increase from the vertex to positive values, \(y\) increases.

Answer:

As \(x\) increases, \(y\) decreases and then increases.