Answer:
The graph of f is shifted left 4 units, vertically shrunk by a factor of [tex]\frac{3}{7}[/tex] and shifted down 10 units.
Step-by-step explanation:
The base graph is [tex]f(x)=|x|[/tex]
The transformed graph is [tex]g(x)=\frac{3}{7}|x+4|-10[/tex]
Let us rewrite [tex]g(x)[/tex] in terms of [tex]f(x)[/tex] to get:
[tex]g(x)=\frac{3}{7}f(x+4)-10[/tex]
This means that [tex]f(x)[/tex] was vertically shrunk by a factor of [tex]\frac{3}{7}[/tex] and shifted 4 units to the left and 10 units down.
