Question

How does the graph of g(x) = x+ 5 compare with the graph of the parent function, f(x) = x?

Answer 1

Answer:

The function $f(x)$ gets shifted 5 units up to form the function g(x).

Step-by-step explanation:

As the parent function is given by

$f(x) = x$

And the resulting function

$g(x) = x+ 5$

When a constant 'c' is added to the output of the function, the function is shifted 'c' units up.

$g(x) = f(x)+b$

Here, a constant '5' is added to the output of the function, so the function is shifted '5' units up.

Therefore, the function $f(x)$ gets shifted 5 units up to form the function g(x).