Question

The graph of -sqrt(x) is shifted 4 units up and 3 units right , what equation represents the new graph..?
A. Y=-sqrt(x+4+3)
B. Y=-sqrt(x-3+4)
C. Y=-sqrt(x+3+4)
D. Y=-sqrt(x-4+3)

Answer 1

None of these is correct. I think you probably meant to type:
A. Y = -sqrt(x+4) +3
B. Y = -sqrt(x-3) + 4
etc.

Answer 2

These are my answer choices

Answer 3

To shift a curve 3 units to the right, you replace *every* x in the equation by x-3 (NOT x + 3)! When you work with transformations involving x, it goes against your intuition!
Shifting a curve up/down is much more intuitive:
For example, if you want to shift " y = stuff" up 4, you'd get the new equation "y = stuff + 4".
Now you try it...

Answer 4

(The correct answer is indeed in the image you posted...)

Answer 5

If you want the full scoop about shifting up/down/left/right, you can look here:
http://www.onemathematicalcat.org/Math/Precalculus_obj/shiftUDLR.htm