https www mathway com Graph 1 Translation o The expression x 1 means the graph shifts 1 unit to the right o The 2 outside the expression shifts the graph 2 units up 2 Reflection o The negative sign in front of the entire expression causes a vertical reflection flipping the graph over the x axis So the graph is shifted 1 unit to the right 2 units up and then reflected vertically Ans A Horizontal Translation The x 3 inside the function shifts the graph 3 units to the right Vertical Translation The 1 outside the function shifts the graph 1 unit up Horizontal Translation The x 2 inside the function shifts the graph 2 units to the left Vertical Translation The 2 outside the function shifts the graph 2 units down Vertical Reflection The negative sign in front reflects the graph vertically flipping it over the x axis Degree and Shape This is a cubic function because the highest power of x is 3 The negative coefficient of x 3 means that the graph will have an inverted cubic shape it will fall as x and rise as x This is a quartic function degree 4 with a negative leading coefficient x4 which means the graph opens downwards on both ends falling towards negative infinity as x or x Quartic functions can have up to three turning points and up to four real roots x intercepts https www youtube com watch v tHMY0djjimw