Question

Which statement is true about f(x)= -2/3 lx+4l -6?
The graph of f(x) has a vertex of (–4, 6).
The graph of f(x) is a horizontal stretch of the graph of the parent function.
The graph of f(x) opens upward.
The graph of f(x) has a domain of x –6.

Answer 1

None of the given statements is true.

Correct facts about f(x) = -(2/3)|x+4| - 6:
- Vertex: (-4, -6) (plug x = -4 → |0| → f = -6).
- The graph opens downward (because the outside factor is negative).
- The factor 2/3 is a vertical compression (|2/3| < 1), not a horizontal stretch.
- Domain: all real numbers. Range: y ≤ -6.