Question

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

Explanation:

To determine the relationship between \( x \) and \( y \), we analyze the graph. The graph has two parts: on the left side (as \( x \) increases towards the vertex), \( y \) decreases. On the right side (as \( x \) increases beyond the vertex), \( y \) increases. So overall, as \( x \) increases, \( y \) first decreases and then increases.

Answer:

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