Question

Which statement is true about f(x)=-2/3|x+4|-6?

A. The graph of f(x) has a vertex of (-4,6)
B. The graph of f(x) is horizontally stretched
C. The graph of f(x) opens upward
D. The graph of f(x) has a domain of x < or equal to -6

Answer 1

the answer to the question is b

Answer 2

option:B

Explanation:

we are given the function y=(-2/3)|x+4|-6

Clearly from the graph attached to it we can see that the vertex of the graph is (-4,-6), option A is incorrect.

also the graph opens downward so option C is incorrect.

the function f is defined for all x hence the domain is all of the real numbers so option D is also incorrect.

Hence option B is correct which says that The graph of f(x) is horizontally stretched.