Answer:
(-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
[tex]f(x)=x^{3}[/tex]
[tex]g(x)=(x+5)^3-6[/tex]
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)
