Question

How to write the function whose graph of the graph but it shifted to the left 4 units

Answer 1

I would say that it's y = -4

Explanation:

Because if you're shifting to the left you are decreasing.

If you were to move left on a graph you'd be going towards the negative side.

Answer 2

The shifted function is √(x + 4)

How to write the shifted function?

For a general function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

if N > 0, the shift is to the left.

if N < 0, the shift is to the right.

So a shift of the left of 4 units means that we must have N = 4.

for f(x) = √x

The shift of 4 units is:

g(x) = f(x + 4) = √(x + 4)