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

units up on the parent function f(x)=x?

Find the rule and the graph of the function whose graph can be obtained by performing-example-1
User Brina
by
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1 Answer

7 votes

Answer:

b.

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:

(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:

(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 .b