State the order and type of each transformation of the graph of the function ƒ(x) = –|(x + 6)| + 4 as compared to the graph of the base function. A) left 6 units, up 4 units, reflection about the x-axis B) left 6 units, reflection about the x-axis, up 4 units C) right 6 units, up 4 units, reflection about the y-axis D) left 6 units, reflection about the y-axis, up 4 units

Answer:A) left 6 units, up 4 units, reflection about the x-axis  Step-by-step explanation:The given absolute value function is ƒ(x) = –|(x + 6)| + 4The base function is[tex]g(x)=|x|[/tex]There is a transformation of the form;[tex]-g(x+b)+c[/tex]The base function is shifted left 6 units. (+b means left shift) and shifted up 4 units (+4 means upward vertical shift), and reflected in the x-axis , (-g(x)) means reflection in the x-axis.The correct choice is A.