Question

Please need answer ASAP did I get the correct answer ? If not please let me know

Answer 1

For the given expression, there is a -1 inside the function and + 4 with the function.

Because of -1 inside the function, the graph shift by 1 unit towards right and because of +4 with the function, the graph shifts to 4 units up .

So the correct option is the first option .

Answer 2

In a function, if you replace x with x - h, the graph shifts h units horizontally.

Here you replaced x with x - 1, so the graph shifts 1 unit horizontally. Since 1 is positive, it shifts 1 units to the right.

In a function, if you replace y with y - k, the graph shifts k units vertically.

$y = \sqrt{x - 4} + 4$

$y - 4 = \sqrt{x - 1}$

In y, you replaced y with y - 4, so the vertical shift is 4. Since 4 is positive, the vertical shift is 4 units up.

Answer is A.