You are going to need to graph this function either with a graphing calculator or plugging in points. One thing you can say it that it is a shifted parabola.
To find the domain look at all the x values and where the function starts/ends.
To find the range look at all the y values and where the function starts/ends.
Intervals are increasing where the values in a the coordinate point are increasing.
Intervals are decreasing where the values in the coordinate points are decreasing.