Here is the plot.
I have two thoughts about what this function is supposed to be. Is it
<-- The red line in the graph below
<-- The blue line in the graph below
I don't know what you mean when you are talking about "reflections." (I'm hoping your version is the blue one...it's easier to tell how to proceed!) The blue graph is a variation on the function which has a known shape. So sketch that curve and move it up 4 units. This is a vertical translation. Note that we also have x + 1 in the problem. That is a translation to the left by 1 unit.
Does that help?