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crimeas [40]
2 years ago
9

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
A,B,C,D... Give explanations please!

Mathematics
1 answer:
Vsevolod [243]2 years ago
5 0

Let

g(x)--------> the translation of the function f(x)

we know that

the rule of the translation is

3 units left and 2 units down

that means

(x,y)-------> (x-3,y-2)

so

In the function f(x) the point (0,0) is equal at the point  (-3,-2) in the function g(x)

therefore

the function g(x) is equal to

g(x)=f(x+3)-2

g(x)=(x+3)^{3} -2

<u>The answer is</u>

a) the rule of the translation is (x,y)-------> (x-3,y-2)

b) The graph in the attached figure


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