Find the rule and the graph of the function whose graph can be obtained by performing the translation 3 units left and 2 units down on the parent function f(x)=x^3 a, b,c, give explanations !

Let

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

we know that

the rule of the translation is

units left and units down

that means

so

In the function f(x) the point is equal at the point   in the function g(x)

therefore

the function g(x) is equal to

The answer is

a) the rule of the translation is

b) The graph in the attached figure

`1234567890-=/*-qwertyuiop[]asdfghjkl; '\\zxcvbnm,./+ /

answer is  

minor arc – sw

major arc – stu

semicircle – wst

i got it down chief.