Question

Which function represents the graph of h(x)=2|x-3| + 1 after it is translated 2 units to the right?

Answer 1

Explanation:

Translation to the right is given by a positive value of h in the following template:

g(x)=f(x-h)

if we would like to translate to the right by 2 units, h=2, so we replace all the "x" in the definition of f(x) by (x-2).

Here,

h(x)=f(x)=2|x-3|+1

replace x by x-2 gives the translated function

g(x)=f(x-2)=2|x-2 -3|+1 which simplifies to

g(x)=2|x-5|+1