SAT Question e9aed539: Nonlinear Functions answer and explanation with Desmos solution

Choice A is correct. When a graph is translated up $4$ units, each point on the resulting graph is $4$ units above the point on the original graph. In other words, the y-value of each point on the graph increases by $4$. The graph shown passes through the points $\left(1,-1\right)$, $\left(2,-2\right)$, and $\left(3,-1\right)$. It follows that when the graph shown is translated up $4$ units, the resulting graph will pass through the points $\left(1,-1+4\right)$, $\left(2,-2+4\right)$, and $\left(3,-1+4\right)$. These points are $\left(1,3\right)$, $\left(2,2\right)$, and $\left(3,3\right)$, respectively. Of the given choices, only the graph in choice A passes through the points $\left(1,3\right)$, $\left(2,2\right)$, and $\left(3,3\right)$.