the graph shows the function representing the recommended amount of mulch, in cubic yards, for circular…

Explanation:

Step1: Identify the function type

Since we have a vertex - form of a quadratic function (implied by the mention of a vertex). The general vertex - form of a quadratic function is $y=a(x - h)^2+k$, where $(h,k)$ is the vertex. Here, $h = 0$ and $k=0.5$, so the function is $y = ax^2+0.5$.

Step2: Assume we can use the graph to estimate the relationship or use a known formula for volume of mulch for a circular area. However, without more information about the function equation, we can estimate from the graph.

We look at the graph and try to find the value of $y$ (amount of mulch in cubic yards) when $x = 20$ (radius in feet). By visually extending the graph (or if we assume a smooth - growing function), we estimate the value of $y$ at $x = 20$. If we assume a smooth - growing curve and estimate from the trend of the graph, when $x = 20$, the value of $y$ is closest to 26 cubic yards.

Answer:

26 cubic yards