Question

which equation defines the graph of y=x^3 after it is shifted vertically 5 units down and horizontally left 4 units. . A) y=(x-4)^3 - 5. B) y=(x+5)^3 - 4. C) y=(x+5)^3 + 4. D) y=(x+4)^3 - 5

Answer 1

The answer is D. y=((x+4)^3)-5

The equation of the graph is y=x^3
A vertical shift is described in the equation: y=f(x)+k where k>0 is up and k<0 is down.
A horizontal shift is described in the equation: y=f(x-h) where h>0 is right and h<0 is left.