Answer: Second Option
The graph of f(x) is horizontally stretched.
Step-by-step explanation:
We have the function:
[tex]f(x) = -\frac{2}{3}|x+4| - 6[/tex]
The main function [tex]y=|x|[/tex] has its vertex in the point (0,0) opens upwards and its domain is all real numbers.
Notice that [tex]f(x) = -\frac{2}{3}|x+4| - 6[/tex] is a transformation of the function [tex]y=|x|[/tex].
Observe the attached image. Where the red line represents the transformed function. Notice that it opens down and is stretched horizontally. Its vertex is at point (4, -6) and the domain is all real numbers
Therefore the statement that is true is the second
The graph of f(x) is horizontally stretched.
