Answer:
The correct statement is B. The graph of [tex]f(x)=−
3
2
∣x+4∣−6 [/tex] is a horizontal stretch of the graph of the parent function.
Explanation:
[tex]f(x)=−
3
2
∣x+4∣−6 [/tex] is an absolute value function that has been horizontally stretched by a factor of 2/3 and vertically shifted down by 6 units.
The vertex of the graph is at (-4, -6), not (−4, 6) as stated in option A.
The graph opens downward, not upward as stated in option C.
The domain of the function is all real numbers, not [tex]x≤−6 [/tex] as stated in option D.
Therefore, the correct statement is that the graph is a horizontal stretch of the parent absolute value function.
