if the graph of function g is translation a units left of the graph of f(x)=2|x|, what is the equation and please graph it

Answer 1

f(x) = 2lxl

g(x) is a units to the left

the vertex of f(x) is the origin, (0,0)

the vertex of g(x), a units to the left is (-a,0)

g(x) = 2lx+al

f(x) is a V shaped equation.

axis of symmetry for f(x) is x=0

axis of symmetry for g(x) is x=-a

from their vertex, each has 2 branches, the right side goes up at a slope of 2

the left side goes down at a slope of -2