The graph of the parent function f(x) = x is translated to form the graph of g(x) = (x + 5)3 - 6. the point (0,0) on the graph
of f(x) corresponds to which point on the graph of g(x)?
o (5, -6)
(-5, -6)
(5,6)
(-5,6)

(-5, -6)

Step-by-step explanation:

The correct question is

The graph of the parent function f(x)=x^3 is translated to from the graph of g(x)=(x+5)^3-6. The point (0,0) on the graph of f(x) corresponds to which point on the graph of g(x)?    

see the attached figure to better understand the problem

we have that

we know that

The turning point in  the parent function f(x) is (0,0)

The turning point in  the function g(x) is (-5,-6)

so

The translation has the following rule

(0,0) -----> (-5,-6)

(x,y) ----> (x-5,y-6)

The translation is 5 units at left and 6 units down

therefore

The point (0,0) on the graph  of f(x) corresponds to (-5,-6) on the graph of g(x)

translate k to n and reflect across the line containing jk.