Question

How to translate the graph of y=√x to obtain the graph of y=√x-4

shift right 4 units

shift left 4 units

shift down 4 units

shift up 4 units

Answer 1

Shift down 4 units

Explanation:

Because your graph shift down 4 unit

Answer 2

- If the function is
`y=√(x)-4`: THIRD OPTION.

- If the function is
`y=√(x-4)`: FIRST OPTION.

Explanation:

There are some transformations for a function f(x):

If
`f(x)+k`, then the function is shifted up "k" units.

If
`f(x)-k`, then the function is shifted down "k" units.

If
`f(x+k)`, then the function is shifted left "k" units.

If
`f(x-k)`, then the function is shifted right "k" units.

Based on this:

- If the function is
`y=√(x)-4`:

You need to shift the graph of the parent function
`y=√(x)` 4 units down to obtain the graph of
`y=√(x)-4`

- If the function is
`y=√(x-4)`:

You need to shift the graph of the function
`y=√(x)` 4 units to the right to obtain the graph of
`y=√(x-4)`