Question

How does the graph of g(x) = x + 4 compare with the graph of the parent
function, f(x) = x?

Answer 1

The function moves up 4 units.

Explanation:

f(x) = x

g(x) = x + 4

The difference is the addition of 4. When a number is added to x without parentheses, the function moves up.

In this transformation, 4 units are moved up.

You can also use a graphing calculator and test it out to see.

Hope this helped! :)

Answer 2

The graph of g(x) is shifted 4 units up.