Question

What is the affect on the graph of the linear parent function f(x) equals X when FX is replaced by FX +3

Answer 1

The graph of the f(x) will horizontal shift left by 3 when f(x) is replaced by f(x+3).

Explanation:

We know that when we add a constant to the input of the parent function, we get a horizontal shift.

The direction of shifting depends upon the value of the added constantly. If the added constant is negative, the shift of the graph will be left and if the added constant is positive, the shift of the graph will be right.

For example, consider the function

f(x)

so adding
`3` in the put i.e.
`f(x+3)` would be a change on the inside of the function, giving a horizontal shift left by 3.

Therefore, the graph of the f(x) will horizontal shift left by 3 when f(x) is replaced by f(x+3).