Refer to the graph below.
Work Step by Step
The parabola has its vertex at $(3, 6)$ so its graph is symmetric with the line $x=3$. Having a $y$-intercept of $2$ means that the parabola contains or passes through the point $(0, 2)$. To graph the parabola, perform the following steps: (1) Plot the vertex and the $y$-intercept $(0, 2)$. Refer to the plot below. (2) Since the graph is symetric with respect to the line $x=3$, reflect the point $(0, 2)$ about the line $x=3$ to obtain the point $(6, 2)$. Refer to the plot below. (3) Connect the three points using a smooth curve to complete the graph. Refer to the graph above.