I don’t get it and it’s like domain and range restrictions and stuff

Aregular hexagon rotates counterclockwise about its center. it turns through angles greater than 0° and less than or equal to 360°. at how many different angles will the hexagon map onto itself?

Find the zero function by factoring (try to show work) h(x)=-x^2-6x-9

Over which interval is the graph of f(x) = x2 + 5x + 6 increasing?