Draw the graph using a translation of the graph of $f ( x ) = x ^ { 3 }$ . $f ( x ) = ( x + 4 ) ^ { 3 } - 1$

Question

Quizplus · Accepted Answer

To translate the graph of $f(x)=x^3$ to the left 4 units and down 1 unit, we need to subtract 4 from the input (x-coordinate) and subtract 1 from the output (y-coordinate). So the function becomes:

$$f(x)=(x+4)^3-1$$

The graph of this function will be shifted left 4 units and down 1 unit from the graph of $y=x^3$. Choice C shows this translation.

Draw the Graph Using a Translation of the Graph Of f