Question

F(x) = |x| and g(x) = |x| + 3

The translation applied to get the graph of g(x) from the graph of 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

Answer 1

The graph would move up 3.

Explanation:

When a number is added after the absolute value brackets, the graph shifts up and down. Since it is a positive number, the shift is upwards.

Answer 2

graph is shifted up by 3 units.

Explanation:

Given : The translation applied to get the graph of g(x) from the graph of f(x) = |x| and g(x) = |x| + 3

To find : Graph of g(x).

Solution : We have given that

Parent function f(x) ans translated function g(x) = |x| + 3.

By the transformation rule : f(x) →→ f(x) + k it mean graph of f(x) shifted by k units up.

Then, graph is shifted up by 3 units.

Therefore, graph is shifted up by 3 units.