Question

4 multiple choice 1 point if f(x)=x³ is transformed into the graph of h(x)=x³ - 6, which of the following describes the transformation? translation of 6 units to the right translation of 6 units down translation of 6 units to the left translation of 6 units up

Explanation:

For a function \(y = f(x)\), the transformation \(y=f(x)-k\) (\(k>0\)) represents a vertical translation of \(k\) units down. Here \(f(x)=x^{3}\) and \(h(x)=x^{3}-6\), so it's a vertical translation of 6 units down.

Answer:

Translation of 6 units down