The graph of y=-^3 square root x is shifted 7 units up and 4 units right. which equation represents the new graph?

y = ∛(x - 4) + 7

Step-by-step explanation:

At first we should know the rules of translation

1) {f(x) + a} is f(x) shifted up (a) units

2) {f(x) – a} is f(x) shifted down (a) units

3) {f(x + a)} is f(x) shifted left (a) units.

4) {f(x – a)} is f(x) shifted right (a) units.

The given function ⇒ y = ∛x

So, The given function is translated 7 units up and 4 units right

Applying the rules (1) and (4)

∴ y = ∛(x - 4) + 7