Answer:
Step-by-step explanation:
f(x) = x^3
To get this to move right, you must do the opposite to what you think you should do.
f(x) =(x - 2)^3.
That looks like it should go left, but it doesn't. It does go right. Suppose you want to know where (0,0) has moved to. If you put x = 2 into x - 2 you get a value of y = 0. That's where the point 0,0 has moved to. It has gone to 2,0
Now you want f(x) to move up 3 units.
f(x) = (x - 2)^3 + 3 The y value lf x = 2 moves up 3 units
Let's see if this is correct.
If you look at the graphs,
- The red one is y = x^3
- The blue one is y = (x - 2)^3
- The green one is y = (x - 2)^3 + 3
The point 0,0 has been marked for the blue one as it shifts to the right and becomes (2,0) and up 3 in the green graph.
