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Novosadov [1.4K]
3 years ago
15

Find the rule and the graph of the function whose graph can be obtained by performing the translation 3 units left and 2 units d

own on the parent function f(x)=x^3

Mathematics
1 answer:
Leya [2.2K]3 years ago
6 0

Answer: Option a.

Step-by-step explanation:

 1. You have the following parent function given in the problem above:

f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)

2. If you take the parent function and make y=f(x+3), then you have:

y=f(x+3)=(x+3)^{3} (The function is shifted 3 units left on the x-axis).

3. Then you if you make y=f(x+3)-2, as following, you obtain:

y=f(x+3)-2=(x+3)^{3}-2  (The function is shifted 2 units down on the y-axis).

4. Therefore, that is how you obtain the final function.

The answer is the graph shown in the option a.

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