Question

F(x) = |x|g(x) = |x| + 1to get the function g, shift f ____ by ___ units

Answer 1

Understand some simple transformation rules first.

Let parent function be f(x). Then

0. f(x) + a is the parent translated a unit up

,

1. f(x) - a is the parent translated a unit down

,

2.

From the functions given:

f (x) = |x|

g (x) = |x| + 1

We can apply the vertical translation rule to figure out that :

to get g(x), we shift f(x) upward by 1 unit