Question

The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 7)3 + 9. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

Answer 1

Explanation:

let's write this properly :

f(x) = x³

g(x) = (x - 7)³ + 9

this translation means that every point of f(x) is shifted up by 9 units (by the "+ 9" term), and shifted right by 7 units (the " x - 7" term means that for every x the original result of x-7 happens, so, 7 units "later" or more to the right than originally).

so, the original (0, 0) point corresponds to (7, 9).