SAT Question c4cd5bcc: Nonlinear Functions answer and explanation with Desmos solution

Choice A is correct. A $y$-intercept is the point in the $xy$-plane where the graph of the function crosses the $y$-axis, which is where $x=0$. It's given that the $y$-coordinate of the $y$-intercept of the graph of function $f$ is $c$. It follows that the coordinate pair representing the $y$-intercept must be $(0,c)$. Therefore, $c$ must equal $f(0)$.