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!
1 answer:
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


<u>The answer is</u>
a) the rule of the translation is 
b) The graph in the attached figure
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In order to solve this equation, you need to divide both sides by 2:


Hope it helps! :)
Have a great day!