MATH SOLVE

3 months ago

Q:
# Which statement is true about "f(x)"The graph of f(x) has a vertex of (β4, 6).The graph of f(x) is horizontally stretched.The graph of f(x) opens upward.The graph of f(x) has a domain of x greater than -6

Accepted Solution

A:

ANSWERThe graph of f(x) is horizontally stretched.EXPLANATIONThe given function is [tex]f(x) = - \frac{2}{3} |x + 4| - 6[/tex]The vertex of this function is (-4,-6)The factor β
strectches the graph horizontally in the graph of f(x) opens wider than the parent function y=|x|The negative factor will make the graph open downwards. It is a reflection in the x-axis.The domain of the graph is all real numbers.