Question

How does the graph of f(x) = (x – 8)^3 + 4 compare to the parent function g(x) = x^3?

Answer 1

Answer:

Therefore, the graph of f(x) = (x – 8)^3 + 4, is the parent graph [g(x) = x^3] transformed 8 units to the right, and transformed 4 units up

Step-by-step explanation:

Recall,

If f(x) is a parent function:

• Horizontal shift: If h is the horizontal shift then f(x+h)) represents a graph which is formed when the parent graph is transformed to left (when h>0) or to right (when h<0))

• Vertical shift: If h is the vertical shift then f(x)+h represents a graph which is formed when the parent graph is transformed to up(when h>0) or to down (when h<0).

Therefore, the graph of f(x) = (x – 8)^3 + 4, is the parent graph transformed 8 units to the right, and transformed 4 units up.