What are all the real zeros of y=(x-12)^3 -10?

1 answer

Suppose you had

x^3-10 = 0

Then the only real zero would be x=∛10, right?

Well, this is the same thing. The only real zero is

x-12 = ∛10, or

x = 12+∛10

The graph is just like the graph of x^3-10, but shifted right by 12.