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Transform the given function f(x) as described. f ( x ) = x 3 Translate right 2 units Translate up 3 units

Sagot :

jcherry99

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.

View image jcherry99
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