Question

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

Answer 1

Answer:

Shift down 4 units

Step-by-step explanation:

Because your graph shift down 4 unit

Answer 2

Answer:

- If the function is $y=\sqrt{x}-4$:  THIRD OPTION.

- If the function is $y=\sqrt{x-4}$:  FIRST OPTION.

Step-by-step 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 $y=\sqrt{x}-4$:

You need to shift the graph of the parent function $y=\sqrt{x}$ 4 units down to obtain the graph of $y=\sqrt{x}-4$

- If the function is $y=\sqrt{x-4}$:

You need to shift the graph of the function $y=\sqrt{x}$ 4 units to the right to obtain the graph of $y=\sqrt{x-4}$