Answer:
Explanation:
The basic (parent) graph is that of f(x)=|x|, whose vertex is at (0, 0). The graph opens up.
The graph of f(x)=-3|x| has the same basic shape, but differs from that of f(x)=|x| as follows:
1) The graph opens down instead of up.
2) The graph is stretched vertically: f(1)=|1| = 1 versus g(1)= -3|1| when the graphs are compared for x = 1.
Domain and Range: The domain of f(x)=|x| is "all real numbers." The range is "all real numbers equal to or greater than 0."
The domain of g(x)= -3|x| is "all real numbers." The range is "all real numbers smaller than 0," or (-infinity, 0).