Question

nothing

Answer 1

looking at the choices, we can tell it has a "2" in front of it
could be negative or positive

what's the vertex of the parabola? the x-coordinate and y-coordinate of the vertex, that is where the graph makes a U-turn

Answer 2

vertex = where the graph makes a U-turn, the turning point

notice the graph... what's the x-value for it and what's the y-value at that U-turn spot?

Answer 3

yeap that's the vertex....
and we can see the graph is going DOWN, so that means the number in front it is negative, so is a -2
if it were a +2, it would be going UP

so \(\bf vertex\implies ({\color{blue}{ 3}},{\color{red}{ 1}})\qquad \qquad
y=-2(x-{\color{blue}{ 3}})^2+{\color{red}{ 1}}\)