Determine if y=2(x-3)^(2)+6 a function by graphing and using the Vertical Line Test.(1 point)

1. This equation is a function
2. This equation is NOT a function

1. This equation is a function

By graphing the equation y=2(x-3)^(2)+6, we see that it is a parabola that opens upwards, meaning that for each value of x there is only one value of y. Furthermore, when we apply the Vertical Line Test to the graph, we can see that any vertical line drawn on the graph only intersects the graph at one point, confirming that the equation represents a function.