Question

If you vertically shift the linear parent function, f(x)=x up four units , what is the equation of the new function

Answer 1

Shifting in the y direction is as simple as adding the shift, ie.,

f(x) = x+4.

In the x direction it is trickier because then you have to replace x by (x-a) where a is the shift to the right... (but that wasn't asked here).

Answer 2

f(x) = x+4

Explanation:

If you vertically shift the linear parent function, f(x)=x up four units

If we shift any linear function vertically then the graph will be shifted up or down

Given that f(x)= x up 4 units

When a graph is shifted up 'a' units then f(x) becomes f(x)+a

For shifting vertically up, we add the number at the end

f(x)=x up four units

So f(x) = x+4

The equation of new function is f(x) = x+4