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)| + 4
The 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.
Answer:
A) left 6 units, up 4 units, reflection about the x-axis
Step-by-step explanation:
[tex]f(x) = -|x + 6| + 4[/tex]
For absolute function , the parent function is [tex]f(x)=|x|[/tex]
f(x) ---> f(x+a) , the graph will be shifted 'a' units to the left
6 is added with x so, we move graph 6 units left.
f(x) ---> f(x)+a , the graph will be shifted 'a' units up
4 is added with x. So, we move graph 4 units up
f(x) ---> -f(x) , the graph will be reflected over x-axis
we have negative sign in the front of the equation, so there will be a reflection about the x-axis
The order of transformation is
moving left 6 units, moving up by 4 units and a reflection about x-axis
