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

y=f(x)+k is a vertical shift, up if k>0 and down if k<0.

y=f(x-h) is a horizontal shift, left if h<0 and right if h>0.

So what do you think?