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find the rule and the graph of the function whose graph can be obtained by preforming the translation 3 units left and 2 units down on the parent function f(x)=x^3

find the rule and the graph of the function whose graph can be obtained by preforming-example-1

2 Answers

3 votes
Hello!

The graph for x cubed has a steep incline levels for a little before another steep incline

Since choice B is the only one that looks like this the answer is B

Hope this helps!
User FloWy
by
6.9k points
7 votes

Answer:

option B

Explanation:

find the rule and the graph of the function whose graph can be obtained by preforming the translation 3 units left and 2 units down on the parent function f(x)=x^3

For translation of graph 3 units left we add 3 from x

So f(x) becomes
f(x)= (x+3)^3

For translation of graph 2 units down , we subtract 2 at the end

so the f(x) becomes
f(x)= (x+3)^3-2

option B is the final function

User Idarryl
by
7.3k points