F(x) = |x| and g(x) = |x| + 3 the translation applied to get the graph of g(x) from the graph of f(x) is .

Vertical translation of 3 units.

Step-by-step explanation:

Since when a function translated k units vertically then , then the new function becomes H(x)=h(x)+k.

We are given that f(x) = |x| and g(x) = |x| + 3 .

That means the graph of f(x) is translated by 3 units vertically .

Hence, the translation applied to get the graph of g(x) from the graph of f(x) is "Vertical translation of 3 units."

Furthermore it can be seen by the graph below.

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true